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Finding the Fourth Proportional to 7,475.72, 10,314.42 and 4,823.24

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Solution

The fourth proportional to 7,475.72, 10,314.42 and 4,823.24 is: 6,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.72 : 10,314.42 = 4,823.24 : x
  2. Step 2: Convert to fraction form
    7,475.72/10,314.42 = 4,823.24/x
  3. Step 3: Cross multiply
    7,475.72x = 10,314.42 × 4,823.24
  4. Step 4: Simplify right side
    7,475.72x = 49,748,923.12
  5. Step 5: Solve for x
    x = 49,748,923.12/7,475.72
  6. Step 6: Final answer
    x = 6,654.73

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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.