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Finding the Fourth Proportional to 7,474.48, 10,316.48 and 5,686.92

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Solution

The fourth proportional to 7,474.48, 10,316.48 and 5,686.92 is: 7,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.48 : 10,316.48 = 5,686.92 : x
  2. Step 2: Convert to fraction form
    7,474.48/10,316.48 = 5,686.92/x
  3. Step 3: Cross multiply
    7,474.48x = 10,316.48 × 5,686.92
  4. Step 4: Simplify right side
    7,474.48x = 58,668,996.44
  5. Step 5: Solve for x
    x = 58,668,996.44/7,474.48
  6. Step 6: Final answer
    x = 7,849.24

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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.