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Finding the Fourth Proportional to 11,423.69, 15,765.48 and 6,387.81

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Solution

The fourth proportional to 11,423.69, 15,765.48 and 6,387.81 is: 8,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.69 : 15,765.48 = 6,387.81 : x
  2. Step 2: Convert to fraction form
    11,423.69/15,765.48 = 6,387.81/x
  3. Step 3: Cross multiply
    11,423.69x = 15,765.48 × 6,387.81
  4. Step 4: Simplify right side
    11,423.69x = 100,706,890.80
  5. Step 5: Solve for x
    x = 100,706,890.80/11,423.69
  6. Step 6: Final answer
    x = 8,815.62

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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.