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Finding the Fourth Proportional to 10,589.51, 14,612.85 and 5,873.78

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Solution

The fourth proportional to 10,589.51, 14,612.85 and 5,873.78 is: 8,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.51 : 14,612.85 = 5,873.78 : x
  2. Step 2: Convert to fraction form
    10,589.51/14,612.85 = 5,873.78/x
  3. Step 3: Cross multiply
    10,589.51x = 14,612.85 × 5,873.78
  4. Step 4: Simplify right side
    10,589.51x = 85,832,702.61
  5. Step 5: Solve for x
    x = 85,832,702.61/10,589.51
  6. Step 6: Final answer
    x = 8,105.44

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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.