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Finding the Fourth Proportional to 7,900.13, 11,850.20 and 5,427.46

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Solution

The fourth proportional to 7,900.13, 11,850.20 and 5,427.46 is: 8,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.13 : 11,850.20 = 5,427.46 : x
  2. Step 2: Convert to fraction form
    7,900.13/11,850.20 = 5,427.46/x
  3. Step 3: Cross multiply
    7,900.13x = 11,850.20 × 5,427.46
  4. Step 4: Simplify right side
    7,900.13x = 64,316,427.86
  5. Step 5: Solve for x
    x = 64,316,427.86/7,900.13
  6. Step 6: Final answer
    x = 8,141.18

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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.