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Finding the Fourth Proportional to 11,423.48, 15,764.29 and 6,387.64

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Solution

The fourth proportional to 11,423.48, 15,764.29 and 6,387.64 is: 8,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.48 : 15,764.29 = 6,387.64 : x
  2. Step 2: Convert to fraction form
    11,423.48/15,764.29 = 6,387.64/x
  3. Step 3: Cross multiply
    11,423.48x = 15,764.29 × 6,387.64
  4. Step 4: Simplify right side
    11,423.48x = 100,696,554.00
  5. Step 5: Solve for x
    x = 100,696,554.00/11,423.48
  6. Step 6: Final answer
    x = 8,814.88

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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.