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Finding the Fourth Proportional to 11,423.84, 15,763.68 and 6,387.54

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Solution

The fourth proportional to 11,423.84, 15,763.68 and 6,387.54 is: 8,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.84 : 15,763.68 = 6,387.54 : x
  2. Step 2: Convert to fraction form
    11,423.84/15,763.68 = 6,387.54/x
  3. Step 3: Cross multiply
    11,423.84x = 15,763.68 × 6,387.54
  4. Step 4: Simplify right side
    11,423.84x = 100,691,136.55
  5. Step 5: Solve for x
    x = 100,691,136.55/11,423.84
  6. Step 6: Final answer
    x = 8,814.12

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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.