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Finding the Fourth Proportional to 10,589.39, 14,615.12 and 5,875.19

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Solution

The fourth proportional to 10,589.39, 14,615.12 and 5,875.19 is: 8,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.39 : 14,615.12 = 5,875.19 : x
  2. Step 2: Convert to fraction form
    10,589.39/14,615.12 = 5,875.19/x
  3. Step 3: Cross multiply
    10,589.39x = 14,615.12 × 5,875.19
  4. Step 4: Simplify right side
    10,589.39x = 85,866,614.03
  5. Step 5: Solve for x
    x = 85,866,614.03/10,589.39
  6. Step 6: Final answer
    x = 8,108.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.