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Finding the Fourth Proportional to 7,475.86, 10,314.21 and 4,825.03

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Solution

The fourth proportional to 7,475.86, 10,314.21 and 4,825.03 is: 6,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.86 : 10,314.21 = 4,825.03 : x
  2. Step 2: Convert to fraction form
    7,475.86/10,314.21 = 4,825.03/x
  3. Step 3: Cross multiply
    7,475.86x = 10,314.21 × 4,825.03
  4. Step 4: Simplify right side
    7,475.86x = 49,766,372.68
  5. Step 5: Solve for x
    x = 49,766,372.68/7,475.86
  6. Step 6: Final answer
    x = 6,656.94

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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.