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Finding the Fourth Proportional to 11,377.96, 15,701.65 and 6,342.50

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Solution

The fourth proportional to 11,377.96, 15,701.65 and 6,342.50 is: 8,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.96 : 15,701.65 = 6,342.50 : x
  2. Step 2: Convert to fraction form
    11,377.96/15,701.65 = 6,342.50/x
  3. Step 3: Cross multiply
    11,377.96x = 15,701.65 × 6,342.50
  4. Step 4: Simplify right side
    11,377.96x = 99,587,604.90
  5. Step 5: Solve for x
    x = 99,587,604.90/11,377.96
  6. Step 6: Final answer
    x = 8,752.68

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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.