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Finding the Fourth Proportional to 7,086.24, 9,779.10 and 3,899.90

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Solution

The fourth proportional to 7,086.24, 9,779.10 and 3,899.90 is: 5,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.24 : 9,779.10 = 3,899.90 : x
  2. Step 2: Convert to fraction form
    7,086.24/9,779.10 = 3,899.90/x
  3. Step 3: Cross multiply
    7,086.24x = 9,779.10 × 3,899.90
  4. Step 4: Simplify right side
    7,086.24x = 38,137,569.50
  5. Step 5: Solve for x
    x = 38,137,569.50/7,086.24
  6. Step 6: Final answer
    x = 5,381.92

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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.