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Finding the Fourth Proportional to 10,475.60, 15,714.30 and 3,453.52

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Solution

The fourth proportional to 10,475.60, 15,714.30 and 3,453.52 is: 5,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.60 : 15,714.30 = 3,453.52 : x
  2. Step 2: Convert to fraction form
    10,475.60/15,714.30 = 3,453.52/x
  3. Step 3: Cross multiply
    10,475.60x = 15,714.30 × 3,453.52
  4. Step 4: Simplify right side
    10,475.60x = 54,269,649.34
  5. Step 5: Solve for x
    x = 54,269,649.34/10,475.60
  6. Step 6: Final answer
    x = 5,180.58

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