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Finding the Fourth Proportional to 6,123.74, 8,446.48 and 4,136.00

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Solution

The fourth proportional to 6,123.74, 8,446.48 and 4,136.00 is: 5,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.74 : 8,446.48 = 4,136.00 : x
  2. Step 2: Convert to fraction form
    6,123.74/8,446.48 = 4,136.00/x
  3. Step 3: Cross multiply
    6,123.74x = 8,446.48 × 4,136.00
  4. Step 4: Simplify right side
    6,123.74x = 34,934,588.71
  5. Step 5: Solve for x
    x = 34,934,588.71/6,123.74
  6. Step 6: Final answer
    x = 5,704.78

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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.