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Finding the Fourth Proportional to 7,031.12, 10,546.84 and 2,414.16

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Solution

The fourth proportional to 7,031.12, 10,546.84 and 2,414.16 is: 3,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.12 : 10,546.84 = 2,414.16 : x
  2. Step 2: Convert to fraction form
    7,031.12/10,546.84 = 2,414.16/x
  3. Step 3: Cross multiply
    7,031.12x = 10,546.84 × 2,414.16
  4. Step 4: Simplify right side
    7,031.12x = 25,461,759.25
  5. Step 5: Solve for x
    x = 25,461,759.25/7,031.12
  6. Step 6: Final answer
    x = 3,621.29

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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.