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Finding the Fourth Proportional to 7,707.36, 11,562 and 2,775.72

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Solution

The fourth proportional to 7,707.36, 11,562 and 2,775.72 is: 4,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.36 : 11,562 = 2,775.72 : x
  2. Step 2: Convert to fraction form
    7,707.36/11,562 = 2,775.72/x
  3. Step 3: Cross multiply
    7,707.36x = 11,562 × 2,775.72
  4. Step 4: Simplify right side
    7,707.36x = 32,092,874.64
  5. Step 5: Solve for x
    x = 32,092,874.64/7,707.36
  6. Step 6: Final answer
    x = 4,163.93

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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.