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Finding the Fourth Proportional to 10,349.83, 15,517.83 and 4,108.17

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Solution

The fourth proportional to 10,349.83, 15,517.83 and 4,108.17 is: 6,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.83 : 15,517.83 = 4,108.17 : x
  2. Step 2: Convert to fraction form
    10,349.83/15,517.83 = 4,108.17/x
  3. Step 3: Cross multiply
    10,349.83x = 15,517.83 × 4,108.17
  4. Step 4: Simplify right side
    10,349.83x = 63,749,883.67
  5. Step 5: Solve for x
    x = 63,749,883.67/10,349.83
  6. Step 6: Final answer
    x = 6,159.51

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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.