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Finding the Fourth Proportional to 7,082.90, 9,775.41 and 4,431.86

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Solution

The fourth proportional to 7,082.90, 9,775.41 and 4,431.86 is: 6,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.90 : 9,775.41 = 4,431.86 : x
  2. Step 2: Convert to fraction form
    7,082.90/9,775.41 = 4,431.86/x
  3. Step 3: Cross multiply
    7,082.90x = 9,775.41 × 4,431.86
  4. Step 4: Simplify right side
    7,082.90x = 43,323,248.56
  5. Step 5: Solve for x
    x = 43,323,248.56/7,082.90
  6. Step 6: Final answer
    x = 6,116.60

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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.