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Finding the Fourth Proportional to 10,575.52, 14,594 and 5,859.76

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Solution

The fourth proportional to 10,575.52, 14,594 and 5,859.76 is: 8,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.52 : 14,594 = 5,859.76 : x
  2. Step 2: Convert to fraction form
    10,575.52/14,594 = 5,859.76/x
  3. Step 3: Cross multiply
    10,575.52x = 14,594 × 5,859.76
  4. Step 4: Simplify right side
    10,575.52x = 85,517,337.44
  5. Step 5: Solve for x
    x = 85,517,337.44/10,575.52
  6. Step 6: Final answer
    x = 8,086.35

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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.