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Finding the Fourth Proportional to 8,159.98, 12,242.12 and 3,480.25

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Solution

The fourth proportional to 8,159.98, 12,242.12 and 3,480.25 is: 5,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.98 : 12,242.12 = 3,480.25 : x
  2. Step 2: Convert to fraction form
    8,159.98/12,242.12 = 3,480.25/x
  3. Step 3: Cross multiply
    8,159.98x = 12,242.12 × 3,480.25
  4. Step 4: Simplify right side
    8,159.98x = 42,605,638.13
  5. Step 5: Solve for x
    x = 42,605,638.13/8,159.98
  6. Step 6: Final answer
    x = 5,221.29

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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.