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Finding the Fourth Proportional to 6,514.83, 9,741.24 and 5,032.53

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Solution

The fourth proportional to 6,514.83, 9,741.24 and 5,032.53 is: 7,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.83 : 9,741.24 = 5,032.53 : x
  2. Step 2: Convert to fraction form
    6,514.83/9,741.24 = 5,032.53/x
  3. Step 3: Cross multiply
    6,514.83x = 9,741.24 × 5,032.53
  4. Step 4: Simplify right side
    6,514.83x = 49,023,082.54
  5. Step 5: Solve for x
    x = 49,023,082.54/6,514.83
  6. Step 6: Final answer
    x = 7,524.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.