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Finding the Fourth Proportional to 8,737.92, 12,070.56 and 6,084

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Solution

The fourth proportional to 8,737.92, 12,070.56 and 6,084 is: 8,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.92 : 12,070.56 = 6,084 : x
  2. Step 2: Convert to fraction form
    8,737.92/12,070.56 = 6,084/x
  3. Step 3: Cross multiply
    8,737.92x = 12,070.56 × 6,084
  4. Step 4: Simplify right side
    8,737.92x = 73,437,287.04
  5. Step 5: Solve for x
    x = 73,437,287.04/8,737.92
  6. Step 6: Final answer
    x = 8,404.44

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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.