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Finding the Fourth Proportional to 7,856.98, 10,841.22 and 5,766.10

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Solution

The fourth proportional to 7,856.98, 10,841.22 and 5,766.10 is: 7,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.98 : 10,841.22 = 5,766.10 : x
  2. Step 2: Convert to fraction form
    7,856.98/10,841.22 = 5,766.10/x
  3. Step 3: Cross multiply
    7,856.98x = 10,841.22 × 5,766.10
  4. Step 4: Simplify right side
    7,856.98x = 62,511,558.64
  5. Step 5: Solve for x
    x = 62,511,558.64/7,856.98
  6. Step 6: Final answer
    x = 7,956.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.