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Finding the Fourth Proportional to 8,182.90, 12,271.20 and 3,499.93

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Solution

The fourth proportional to 8,182.90, 12,271.20 and 3,499.93 is: 5,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.90 : 12,271.20 = 3,499.93 : x
  2. Step 2: Convert to fraction form
    8,182.90/12,271.20 = 3,499.93/x
  3. Step 3: Cross multiply
    8,182.90x = 12,271.20 × 3,499.93
  4. Step 4: Simplify right side
    8,182.90x = 42,948,341.02
  5. Step 5: Solve for x
    x = 42,948,341.02/8,182.90
  6. Step 6: Final answer
    x = 5,248.55

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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.