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Finding the Fourth Proportional to 8,507.70, 12,752.10 and 3,575.88

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Solution

The fourth proportional to 8,507.70, 12,752.10 and 3,575.88 is: 5,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.70 : 12,752.10 = 3,575.88 : x
  2. Step 2: Convert to fraction form
    8,507.70/12,752.10 = 3,575.88/x
  3. Step 3: Cross multiply
    8,507.70x = 12,752.10 × 3,575.88
  4. Step 4: Simplify right side
    8,507.70x = 45,599,979.35
  5. Step 5: Solve for x
    x = 45,599,979.35/8,507.70
  6. Step 6: Final answer
    x = 5,359.85

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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.