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Finding the Fourth Proportional to 7,981.47, 11,972.03 and 2,787.21

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Solution

The fourth proportional to 7,981.47, 11,972.03 and 2,787.21 is: 4,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.47 : 11,972.03 = 2,787.21 : x
  2. Step 2: Convert to fraction form
    7,981.47/11,972.03 = 2,787.21/x
  3. Step 3: Cross multiply
    7,981.47x = 11,972.03 × 2,787.21
  4. Step 4: Simplify right side
    7,981.47x = 33,368,547.80
  5. Step 5: Solve for x
    x = 33,368,547.80/7,981.47
  6. Step 6: Final answer
    x = 4,180.75

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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.