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Finding the Fourth Proportional to 11,337.57, 15,642.11 and 6,859.62

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Solution

The fourth proportional to 11,337.57, 15,642.11 and 6,859.62 is: 9,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.57 : 15,642.11 = 6,859.62 : x
  2. Step 2: Convert to fraction form
    11,337.57/15,642.11 = 6,859.62/x
  3. Step 3: Cross multiply
    11,337.57x = 15,642.11 × 6,859.62
  4. Step 4: Simplify right side
    11,337.57x = 107,298,947.75
  5. Step 5: Solve for x
    x = 107,298,947.75/11,337.57
  6. Step 6: Final answer
    x = 9,464.02

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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.