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Finding the Fourth Proportional to 8,337.92, 11,497.12 and 5,680

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Solution

The fourth proportional to 8,337.92, 11,497.12 and 5,680 is: 7,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.92 : 11,497.12 = 5,680 : x
  2. Step 2: Convert to fraction form
    8,337.92/11,497.12 = 5,680/x
  3. Step 3: Cross multiply
    8,337.92x = 11,497.12 × 5,680
  4. Step 4: Simplify right side
    8,337.92x = 65,303,641.60
  5. Step 5: Solve for x
    x = 65,303,641.60/8,337.92
  6. Step 6: Final answer
    x = 7,832.13

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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.