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Finding the Fourth Proportional to 11,088.14, 15,275.65 and 7,724.87

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Solution

The fourth proportional to 11,088.14, 15,275.65 and 7,724.87 is: 10,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,088.14 : 15,275.65 = 7,724.87 : x
  2. Step 2: Convert to fraction form
    11,088.14/15,275.65 = 7,724.87/x
  3. Step 3: Cross multiply
    11,088.14x = 15,275.65 × 7,724.87
  4. Step 4: Simplify right side
    11,088.14x = 118,002,409.98
  5. Step 5: Solve for x
    x = 118,002,409.98/11,088.14
  6. Step 6: Final answer
    x = 10,642.22

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