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Finding the Fourth Proportional to 8,737, 12,057.04 and 4,758.14

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Solution

The fourth proportional to 8,737, 12,057.04 and 4,758.14 is: 6,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737 : 12,057.04 = 4,758.14 : x
  2. Step 2: Convert to fraction form
    8,737/12,057.04 = 4,758.14/x
  3. Step 3: Cross multiply
    8,737x = 12,057.04 × 4,758.14
  4. Step 4: Simplify right side
    8,737x = 57,369,084.31
  5. Step 5: Solve for x
    x = 57,369,084.31/8,737
  6. Step 6: Final answer
    x = 6,566.22

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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.