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Finding the Fourth Proportional to 8,366.25, 11,545.47 and 4,589.77

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Solution

The fourth proportional to 8,366.25, 11,545.47 and 4,589.77 is: 6,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.25 : 11,545.47 = 4,589.77 : x
  2. Step 2: Convert to fraction form
    8,366.25/11,545.47 = 4,589.77/x
  3. Step 3: Cross multiply
    8,366.25x = 11,545.47 × 4,589.77
  4. Step 4: Simplify right side
    8,366.25x = 52,991,022.98
  5. Step 5: Solve for x
    x = 52,991,022.98/8,366.25
  6. Step 6: Final answer
    x = 6,333.90

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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.