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Finding the Fourth Proportional to 11,475.42, 15,832.47 and 6,438.90

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Solution

The fourth proportional to 11,475.42, 15,832.47 and 6,438.90 is: 8,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.42 : 15,832.47 = 6,438.90 : x
  2. Step 2: Convert to fraction form
    11,475.42/15,832.47 = 6,438.90/x
  3. Step 3: Cross multiply
    11,475.42x = 15,832.47 × 6,438.90
  4. Step 4: Simplify right side
    11,475.42x = 101,943,691.08
  5. Step 5: Solve for x
    x = 101,943,691.08/11,475.42
  6. Step 6: Final answer
    x = 8,883.66

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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.