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Finding the Fourth Proportional to 7,707,615.75, 11,560,978.94 and 2,316,150.45

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Solution

The fourth proportional to 7,707,615.75, 11,560,978.94 and 2,316,150.45 is: 3,474,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,615.75 : 11,560,978.94 = 2,316,150.45 : x
  2. Step 2: Convert to fraction form
    7,707,615.75/11,560,978.94 = 2,316,150.45/x
  3. Step 3: Cross multiply
    7,707,615.75x = 11,560,978.94 × 2,316,150.45
  4. Step 4: Simplify right side
    7,707,615.75x = 26,776,966,562,740.77
  5. Step 5: Solve for x
    x = 26,776,966,562,740.77/7,707,615.75
  6. Step 6: Final answer
    x = 3,474,092.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.