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Finding the Fourth Proportional to 7,824.76, 11,737.19 and 1,981.39

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Solution

The fourth proportional to 7,824.76, 11,737.19 and 1,981.39 is: 2,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.76 : 11,737.19 = 1,981.39 : x
  2. Step 2: Convert to fraction form
    7,824.76/11,737.19 = 1,981.39/x
  3. Step 3: Cross multiply
    7,824.76x = 11,737.19 × 1,981.39
  4. Step 4: Simplify right side
    7,824.76x = 23,255,926.50
  5. Step 5: Solve for x
    x = 23,255,926.50/7,824.76
  6. Step 6: Final answer
    x = 2,972.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.