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Finding the Fourth Proportional to 10,575.12, 14,592 and 5,859.24

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Solution

The fourth proportional to 10,575.12, 14,592 and 5,859.24 is: 8,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.12 : 14,592 = 5,859.24 : x
  2. Step 2: Convert to fraction form
    10,575.12/14,592 = 5,859.24/x
  3. Step 3: Cross multiply
    10,575.12x = 14,592 × 5,859.24
  4. Step 4: Simplify right side
    10,575.12x = 85,498,030.08
  5. Step 5: Solve for x
    x = 85,498,030.08/10,575.12
  6. Step 6: Final answer
    x = 8,084.83

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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.