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Finding the Fourth Proportional to 8,521.49, 12,780.14 and 2,974.02

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Solution

The fourth proportional to 8,521.49, 12,780.14 and 2,974.02 is: 4,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.49 : 12,780.14 = 2,974.02 : x
  2. Step 2: Convert to fraction form
    8,521.49/12,780.14 = 2,974.02/x
  3. Step 3: Cross multiply
    8,521.49x = 12,780.14 × 2,974.02
  4. Step 4: Simplify right side
    8,521.49x = 38,008,377.09
  5. Step 5: Solve for x
    x = 38,008,377.09/8,521.49
  6. Step 6: Final answer
    x = 4,460.30

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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.