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Finding the Fourth Proportional to 10,023.16, 15,035.08 and 3,449.28

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Solution

The fourth proportional to 10,023.16, 15,035.08 and 3,449.28 is: 5,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.16 : 15,035.08 = 3,449.28 : x
  2. Step 2: Convert to fraction form
    10,023.16/15,035.08 = 3,449.28/x
  3. Step 3: Cross multiply
    10,023.16x = 15,035.08 × 3,449.28
  4. Step 4: Simplify right side
    10,023.16x = 51,860,200.74
  5. Step 5: Solve for x
    x = 51,860,200.74/10,023.16
  6. Step 6: Final answer
    x = 5,174.04

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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.