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Finding the Fourth Proportional to 7,876.83, 11,817.14 and 2,254.58

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Solution

The fourth proportional to 7,876.83, 11,817.14 and 2,254.58 is: 3,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.83 : 11,817.14 = 2,254.58 : x
  2. Step 2: Convert to fraction form
    7,876.83/11,817.14 = 2,254.58/x
  3. Step 3: Cross multiply
    7,876.83x = 11,817.14 × 2,254.58
  4. Step 4: Simplify right side
    7,876.83x = 26,642,740.61
  5. Step 5: Solve for x
    x = 26,642,740.61/7,876.83
  6. Step 6: Final answer
    x = 3,382.42

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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.