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Finding the Fourth Proportional to 8,681.20, 13,021.82 and 3,138.46

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Solution

The fourth proportional to 8,681.20, 13,021.82 and 3,138.46 is: 4,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.20 : 13,021.82 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    8,681.20/13,021.82 = 3,138.46/x
  3. Step 3: Cross multiply
    8,681.20x = 13,021.82 × 3,138.46
  4. Step 4: Simplify right side
    8,681.20x = 40,868,461.20
  5. Step 5: Solve for x
    x = 40,868,461.20/8,681.20
  6. Step 6: Final answer
    x = 4,707.70

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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.