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Finding the Fourth Proportional to 10,108.64, 15,163 and 3,534.84

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Solution

The fourth proportional to 10,108.64, 15,163 and 3,534.84 is: 5,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.64 : 15,163 = 3,534.84 : x
  2. Step 2: Convert to fraction form
    10,108.64/15,163 = 3,534.84/x
  3. Step 3: Cross multiply
    10,108.64x = 15,163 × 3,534.84
  4. Step 4: Simplify right side
    10,108.64x = 53,598,778.92
  5. Step 5: Solve for x
    x = 53,598,778.92/10,108.64
  6. Step 6: Final answer
    x = 5,302.27

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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.