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Finding the Fourth Proportional to 11,377.75, 15,701.82 and 6,342.00

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Solution

The fourth proportional to 11,377.75, 15,701.82 and 6,342.00 is: 8,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.75 : 15,701.82 = 6,342.00 : x
  2. Step 2: Convert to fraction form
    11,377.75/15,701.82 = 6,342.00/x
  3. Step 3: Cross multiply
    11,377.75x = 15,701.82 × 6,342.00
  4. Step 4: Simplify right side
    11,377.75x = 99,581,005.85
  5. Step 5: Solve for x
    x = 99,581,005.85/11,377.75
  6. Step 6: Final answer
    x = 8,752.26

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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.