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Finding the Fourth Proportional to 10,352.52, 15,536.10 and 8,017.92

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Solution

The fourth proportional to 10,352.52, 15,536.10 and 8,017.92 is: 12,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.52 : 15,536.10 = 8,017.92 : x
  2. Step 2: Convert to fraction form
    10,352.52/15,536.10 = 8,017.92/x
  3. Step 3: Cross multiply
    10,352.52x = 15,536.10 × 8,017.92
  4. Step 4: Simplify right side
    10,352.52x = 124,567,206.91
  5. Step 5: Solve for x
    x = 124,567,206.91/10,352.52
  6. Step 6: Final answer
    x = 12,032.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.