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Finding the Fourth Proportional to 10,254.92, 14,151.82 and 5,779.78

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Solution

The fourth proportional to 10,254.92, 14,151.82 and 5,779.78 is: 7,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.92 : 14,151.82 = 5,779.78 : x
  2. Step 2: Convert to fraction form
    10,254.92/14,151.82 = 5,779.78/x
  3. Step 3: Cross multiply
    10,254.92x = 14,151.82 × 5,779.78
  4. Step 4: Simplify right side
    10,254.92x = 81,794,406.20
  5. Step 5: Solve for x
    x = 81,794,406.20/10,254.92
  6. Step 6: Final answer
    x = 7,976.11

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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.