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Finding the Fourth Proportional to 10,652.48, 15,978.72 and 4,080.68

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Solution

The fourth proportional to 10,652.48, 15,978.72 and 4,080.68 is: 6,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.48 : 15,978.72 = 4,080.68 : x
  2. Step 2: Convert to fraction form
    10,652.48/15,978.72 = 4,080.68/x
  3. Step 3: Cross multiply
    10,652.48x = 15,978.72 × 4,080.68
  4. Step 4: Simplify right side
    10,652.48x = 65,204,043.13
  5. Step 5: Solve for x
    x = 65,204,043.13/10,652.48
  6. Step 6: Final answer
    x = 6,121.02

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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.