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Finding the Fourth Proportional to 11,423.50, 15,765.18 and 6,947.44

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Solution

The fourth proportional to 11,423.50, 15,765.18 and 6,947.44 is: 9,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.50 : 15,765.18 = 6,947.44 : x
  2. Step 2: Convert to fraction form
    11,423.50/15,765.18 = 6,947.44/x
  3. Step 3: Cross multiply
    11,423.50x = 15,765.18 × 6,947.44
  4. Step 4: Simplify right side
    11,423.50x = 109,527,585.36
  5. Step 5: Solve for x
    x = 109,527,585.36/11,423.50
  6. Step 6: Final answer
    x = 9,587.92

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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.