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Finding the Fourth Proportional to 10,475.40, 15,714.12 and 3,452.58

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Solution

The fourth proportional to 10,475.40, 15,714.12 and 3,452.58 is: 5,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.40 : 15,714.12 = 3,452.58 : x
  2. Step 2: Convert to fraction form
    10,475.40/15,714.12 = 3,452.58/x
  3. Step 3: Cross multiply
    10,475.40x = 15,714.12 × 3,452.58
  4. Step 4: Simplify right side
    10,475.40x = 54,254,256.43
  5. Step 5: Solve for x
    x = 54,254,256.43/10,475.40
  6. Step 6: Final answer
    x = 5,179.21

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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.