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Finding the Fourth Proportional to 11,333.62, 15,640.49 and 6,298.16

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Solution

The fourth proportional to 11,333.62, 15,640.49 and 6,298.16 is: 8,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.62 : 15,640.49 = 6,298.16 : x
  2. Step 2: Convert to fraction form
    11,333.62/15,640.49 = 6,298.16/x
  3. Step 3: Cross multiply
    11,333.62x = 15,640.49 × 6,298.16
  4. Step 4: Simplify right side
    11,333.62x = 98,506,246.04
  5. Step 5: Solve for x
    x = 98,506,246.04/11,333.62
  6. Step 6: Final answer
    x = 8,691.51

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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.