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Finding the Fourth Proportional to 10,136.71, 14,002.17 and 8,154.74

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Solution

The fourth proportional to 10,136.71, 14,002.17 and 8,154.74 is: 11,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.71 : 14,002.17 = 8,154.74 : x
  2. Step 2: Convert to fraction form
    10,136.71/14,002.17 = 8,154.74/x
  3. Step 3: Cross multiply
    10,136.71x = 14,002.17 × 8,154.74
  4. Step 4: Simplify right side
    10,136.71x = 114,184,060.21
  5. Step 5: Solve for x
    x = 114,184,060.21/10,136.71
  6. Step 6: Final answer
    x = 11,264.41

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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.