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Finding the Fourth Proportional to 8,752.68, 13,140.48 and 5,201.31

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Solution

The fourth proportional to 8,752.68, 13,140.48 and 5,201.31 is: 7,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.68 : 13,140.48 = 5,201.31 : x
  2. Step 2: Convert to fraction form
    8,752.68/13,140.48 = 5,201.31/x
  3. Step 3: Cross multiply
    8,752.68x = 13,140.48 × 5,201.31
  4. Step 4: Simplify right side
    8,752.68x = 68,347,710.03
  5. Step 5: Solve for x
    x = 68,347,710.03/8,752.68
  6. Step 6: Final answer
    x = 7,808.78

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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.