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Finding the Fourth Proportional to 7,858.89, 10,841.92 and 6,658.76

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Solution

The fourth proportional to 7,858.89, 10,841.92 and 6,658.76 is: 9,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.89 : 10,841.92 = 6,658.76 : x
  2. Step 2: Convert to fraction form
    7,858.89/10,841.92 = 6,658.76/x
  3. Step 3: Cross multiply
    7,858.89x = 10,841.92 × 6,658.76
  4. Step 4: Simplify right side
    7,858.89x = 72,193,753.68
  5. Step 5: Solve for x
    x = 72,193,753.68/7,858.89
  6. Step 6: Final answer
    x = 9,186.25

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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.