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Finding the Fourth Proportional to 7,474.68, 10,314.64 and 4,116.85

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Solution

The fourth proportional to 7,474.68, 10,314.64 and 4,116.85 is: 5,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.68 : 10,314.64 = 4,116.85 : x
  2. Step 2: Convert to fraction form
    7,474.68/10,314.64 = 4,116.85/x
  3. Step 3: Cross multiply
    7,474.68x = 10,314.64 × 4,116.85
  4. Step 4: Simplify right side
    7,474.68x = 42,463,825.68
  5. Step 5: Solve for x
    x = 42,463,825.68/7,474.68
  6. Step 6: Final answer
    x = 5,681.02

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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.