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Finding the Fourth Proportional to 8,033.42, 12,039.69 and 3,098.18

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Solution

The fourth proportional to 8,033.42, 12,039.69 and 3,098.18 is: 4,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.42 : 12,039.69 = 3,098.18 : x
  2. Step 2: Convert to fraction form
    8,033.42/12,039.69 = 3,098.18/x
  3. Step 3: Cross multiply
    8,033.42x = 12,039.69 × 3,098.18
  4. Step 4: Simplify right side
    8,033.42x = 37,301,126.76
  5. Step 5: Solve for x
    x = 37,301,126.76/8,033.42
  6. Step 6: Final answer
    x = 4,643.24

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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.