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Finding the Fourth Proportional to 10,427.54, 14,389.86 and 5,711.82

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Solution

The fourth proportional to 10,427.54, 14,389.86 and 5,711.82 is: 7,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.54 : 14,389.86 = 5,711.82 : x
  2. Step 2: Convert to fraction form
    10,427.54/14,389.86 = 5,711.82/x
  3. Step 3: Cross multiply
    10,427.54x = 14,389.86 × 5,711.82
  4. Step 4: Simplify right side
    10,427.54x = 82,192,290.15
  5. Step 5: Solve for x
    x = 82,192,290.15/10,427.54
  6. Step 6: Final answer
    x = 7,882.24

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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.