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Finding the Fourth Proportional to 7,615.15, 11,414.94 and 4,321.28

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Solution

The fourth proportional to 7,615.15, 11,414.94 and 4,321.28 is: 6,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.15 : 11,414.94 = 4,321.28 : x
  2. Step 2: Convert to fraction form
    7,615.15/11,414.94 = 4,321.28/x
  3. Step 3: Cross multiply
    7,615.15x = 11,414.94 × 4,321.28
  4. Step 4: Simplify right side
    7,615.15x = 49,327,151.92
  5. Step 5: Solve for x
    x = 49,327,151.92/7,615.15
  6. Step 6: Final answer
    x = 6,477.50

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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.