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Finding the Fourth Proportional to 8,690.40, 13,033.20 and 3,142.70

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Solution

The fourth proportional to 8,690.40, 13,033.20 and 3,142.70 is: 4,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.40 : 13,033.20 = 3,142.70 : x
  2. Step 2: Convert to fraction form
    8,690.40/13,033.20 = 3,142.70/x
  3. Step 3: Cross multiply
    8,690.40x = 13,033.20 × 3,142.70
  4. Step 4: Simplify right side
    8,690.40x = 40,959,437.64
  5. Step 5: Solve for x
    x = 40,959,437.64/8,690.40
  6. Step 6: Final answer
    x = 4,713.18

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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.