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Finding the Fourth Proportional to 7,427.92, 10,250.68 and 4,070.86

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Solution

The fourth proportional to 7,427.92, 10,250.68 and 4,070.86 is: 5,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.92 : 10,250.68 = 4,070.86 : x
  2. Step 2: Convert to fraction form
    7,427.92/10,250.68 = 4,070.86/x
  3. Step 3: Cross multiply
    7,427.92x = 10,250.68 × 4,070.86
  4. Step 4: Simplify right side
    7,427.92x = 41,729,083.18
  5. Step 5: Solve for x
    x = 41,729,083.18/7,427.92
  6. Step 6: Final answer
    x = 5,617.87

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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.