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Finding the Fourth Proportional to 8,366.34, 11,545.87 and 4,589.64

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Solution

The fourth proportional to 8,366.34, 11,545.87 and 4,589.64 is: 6,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.34 : 11,545.87 = 4,589.64 : x
  2. Step 2: Convert to fraction form
    8,366.34/11,545.87 = 4,589.64/x
  3. Step 3: Cross multiply
    8,366.34x = 11,545.87 × 4,589.64
  4. Step 4: Simplify right side
    8,366.34x = 52,991,386.79
  5. Step 5: Solve for x
    x = 52,991,386.79/8,366.34
  6. Step 6: Final answer
    x = 6,333.88

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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.