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Finding the Fourth Proportional to 10,589.70, 14,614.68 and 5,875.50

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Solution

The fourth proportional to 10,589.70, 14,614.68 and 5,875.50 is: 8,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.70 : 14,614.68 = 5,875.50 : x
  2. Step 2: Convert to fraction form
    10,589.70/14,614.68 = 5,875.50/x
  3. Step 3: Cross multiply
    10,589.70x = 14,614.68 × 5,875.50
  4. Step 4: Simplify right side
    10,589.70x = 85,868,552.34
  5. Step 5: Solve for x
    x = 85,868,552.34/10,589.70
  6. Step 6: Final answer
    x = 8,108.69

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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.