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Finding the Fourth Proportional to 8,737.24, 12,057 and 4,758.11

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Solution

The fourth proportional to 8,737.24, 12,057 and 4,758.11 is: 6,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.24 : 12,057 = 4,758.11 : x
  2. Step 2: Convert to fraction form
    8,737.24/12,057 = 4,758.11/x
  3. Step 3: Cross multiply
    8,737.24x = 12,057 × 4,758.11
  4. Step 4: Simplify right side
    8,737.24x = 57,368,532.27
  5. Step 5: Solve for x
    x = 57,368,532.27/8,737.24
  6. Step 6: Final answer
    x = 6,565.98

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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.