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Finding the Fourth Proportional to 11,637.28, 16,059.18 and 6,332.11

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Solution

The fourth proportional to 11,637.28, 16,059.18 and 6,332.11 is: 8,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.28 : 16,059.18 = 6,332.11 : x
  2. Step 2: Convert to fraction form
    11,637.28/16,059.18 = 6,332.11/x
  3. Step 3: Cross multiply
    11,637.28x = 16,059.18 × 6,332.11
  4. Step 4: Simplify right side
    11,637.28x = 101,688,413.97
  5. Step 5: Solve for x
    x = 101,688,413.97/11,637.28
  6. Step 6: Final answer
    x = 8,738.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.