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Finding the Fourth Proportional to 10,876.86, 16,317.54 and 3,761.70

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Solution

The fourth proportional to 10,876.86, 16,317.54 and 3,761.70 is: 5,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.86 : 16,317.54 = 3,761.70 : x
  2. Step 2: Convert to fraction form
    10,876.86/16,317.54 = 3,761.70/x
  3. Step 3: Cross multiply
    10,876.86x = 16,317.54 × 3,761.70
  4. Step 4: Simplify right side
    10,876.86x = 61,381,690.22
  5. Step 5: Solve for x
    x = 61,381,690.22/10,876.86
  6. Step 6: Final answer
    x = 5,643.33

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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.