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Finding the Fourth Proportional to 7,314.47, 10,086.12 and 5,896.65

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Solution

The fourth proportional to 7,314.47, 10,086.12 and 5,896.65 is: 8,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.47 : 10,086.12 = 5,896.65 : x
  2. Step 2: Convert to fraction form
    7,314.47/10,086.12 = 5,896.65/x
  3. Step 3: Cross multiply
    7,314.47x = 10,086.12 × 5,896.65
  4. Step 4: Simplify right side
    7,314.47x = 59,474,319.50
  5. Step 5: Solve for x
    x = 59,474,319.50/7,314.47
  6. Step 6: Final answer
    x = 8,131.06

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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.