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Finding the Fourth Proportional to 6,136.92, 8,458.62 and 4,700.76

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Solution

The fourth proportional to 6,136.92, 8,458.62 and 4,700.76 is: 6,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.92 : 8,458.62 = 4,700.76 : x
  2. Step 2: Convert to fraction form
    6,136.92/8,458.62 = 4,700.76/x
  3. Step 3: Cross multiply
    6,136.92x = 8,458.62 × 4,700.76
  4. Step 4: Simplify right side
    6,136.92x = 39,761,942.55
  5. Step 5: Solve for x
    x = 39,761,942.55/6,136.92
  6. Step 6: Final answer
    x = 6,479.14

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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.