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Finding the Fourth Proportional to 8,366.46, 11,545.80 and 4,589.63

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Solution

The fourth proportional to 8,366.46, 11,545.80 and 4,589.63 is: 6,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.46 : 11,545.80 = 4,589.63 : x
  2. Step 2: Convert to fraction form
    8,366.46/11,545.80 = 4,589.63/x
  3. Step 3: Cross multiply
    8,366.46x = 11,545.80 × 4,589.63
  4. Step 4: Simplify right side
    8,366.46x = 52,990,950.05
  5. Step 5: Solve for x
    x = 52,990,950.05/8,366.46
  6. Step 6: Final answer
    x = 6,333.74

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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.