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Finding the Fourth Proportional to 10,427.92, 14,390.12 and 5,712.08

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Solution

The fourth proportional to 10,427.92, 14,390.12 and 5,712.08 is: 7,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.92 : 14,390.12 = 5,712.08 : x
  2. Step 2: Convert to fraction form
    10,427.92/14,390.12 = 5,712.08/x
  3. Step 3: Cross multiply
    10,427.92x = 14,390.12 × 5,712.08
  4. Step 4: Simplify right side
    10,427.92x = 82,197,516.65
  5. Step 5: Solve for x
    x = 82,197,516.65/10,427.92
  6. Step 6: Final answer
    x = 7,882.45

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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.