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Finding the Fourth Proportional to 8,139.40, 12,209.76 and 3,460.48

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Solution

The fourth proportional to 8,139.40, 12,209.76 and 3,460.48 is: 5,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.40 : 12,209.76 = 3,460.48 : x
  2. Step 2: Convert to fraction form
    8,139.40/12,209.76 = 3,460.48/x
  3. Step 3: Cross multiply
    8,139.40x = 12,209.76 × 3,460.48
  4. Step 4: Simplify right side
    8,139.40x = 42,251,630.28
  5. Step 5: Solve for x
    x = 42,251,630.28/8,139.40
  6. Step 6: Final answer
    x = 5,191.00

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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.