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Finding the Fourth Proportional to 7,779.38, 11,660.43 and 3,098.17

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Solution

The fourth proportional to 7,779.38, 11,660.43 and 3,098.17 is: 4,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.38 : 11,660.43 = 3,098.17 : x
  2. Step 2: Convert to fraction form
    7,779.38/11,660.43 = 3,098.17/x
  3. Step 3: Cross multiply
    7,779.38x = 11,660.43 × 3,098.17
  4. Step 4: Simplify right side
    7,779.38x = 36,125,936.11
  5. Step 5: Solve for x
    x = 36,125,936.11/7,779.38
  6. Step 6: Final answer
    x = 4,643.81

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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.