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Finding the Fourth Proportional to 11,097.68, 15,314.28 and 6,624.40

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Solution

The fourth proportional to 11,097.68, 15,314.28 and 6,624.40 is: 9,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.68 : 15,314.28 = 6,624.40 : x
  2. Step 2: Convert to fraction form
    11,097.68/15,314.28 = 6,624.40/x
  3. Step 3: Cross multiply
    11,097.68x = 15,314.28 × 6,624.40
  4. Step 4: Simplify right side
    11,097.68x = 101,447,916.43
  5. Step 5: Solve for x
    x = 101,447,916.43/11,097.68
  6. Step 6: Final answer
    x = 9,141.36

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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.