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Finding the Fourth Proportional to 8,681.34, 13,023.81 and 3,487.62

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Solution

The fourth proportional to 8,681.34, 13,023.81 and 3,487.62 is: 5,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.34 : 13,023.81 = 3,487.62 : x
  2. Step 2: Convert to fraction form
    8,681.34/13,023.81 = 3,487.62/x
  3. Step 3: Cross multiply
    8,681.34x = 13,023.81 × 3,487.62
  4. Step 4: Simplify right side
    8,681.34x = 45,422,100.23
  5. Step 5: Solve for x
    x = 45,422,100.23/8,681.34
  6. Step 6: Final answer
    x = 5,232.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.