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Finding the Fourth Proportional to 10,149.16, 15,209.02 and 4,949.16

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Solution

The fourth proportional to 10,149.16, 15,209.02 and 4,949.16 is: 7,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.16 : 15,209.02 = 4,949.16 : x
  2. Step 2: Convert to fraction form
    10,149.16/15,209.02 = 4,949.16/x
  3. Step 3: Cross multiply
    10,149.16x = 15,209.02 × 4,949.16
  4. Step 4: Simplify right side
    10,149.16x = 75,271,873.42
  5. Step 5: Solve for x
    x = 75,271,873.42/10,149.16
  6. Step 6: Final answer
    x = 7,416.56

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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.