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Finding the Fourth Proportional to 10,476.83, 15,713.82 and 4,151.61

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Solution

The fourth proportional to 10,476.83, 15,713.82 and 4,151.61 is: 6,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.83 : 15,713.82 = 4,151.61 : x
  2. Step 2: Convert to fraction form
    10,476.83/15,713.82 = 4,151.61/x
  3. Step 3: Cross multiply
    10,476.83x = 15,713.82 × 4,151.61
  4. Step 4: Simplify right side
    10,476.83x = 65,237,652.25
  5. Step 5: Solve for x
    x = 65,237,652.25/10,476.83
  6. Step 6: Final answer
    x = 6,226.85

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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.