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Finding the Fourth Proportional to 11,097.16, 15,307.05 and 8,438.74

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Solution

The fourth proportional to 11,097.16, 15,307.05 and 8,438.74 is: 11,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.16 : 15,307.05 = 8,438.74 : x
  2. Step 2: Convert to fraction form
    11,097.16/15,307.05 = 8,438.74/x
  3. Step 3: Cross multiply
    11,097.16x = 15,307.05 × 8,438.74
  4. Step 4: Simplify right side
    11,097.16x = 129,172,215.12
  5. Step 5: Solve for x
    x = 129,172,215.12/11,097.16
  6. Step 6: Final answer
    x = 11,640.11

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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.