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Finding the Fourth Proportional to 7,824.79, 11,737.19 and 1,981.40

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Solution

The fourth proportional to 7,824.79, 11,737.19 and 1,981.40 is: 2,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.79 : 11,737.19 = 1,981.40 : x
  2. Step 2: Convert to fraction form
    7,824.79/11,737.19 = 1,981.40/x
  3. Step 3: Cross multiply
    7,824.79x = 11,737.19 × 1,981.40
  4. Step 4: Simplify right side
    7,824.79x = 23,256,068.27
  5. Step 5: Solve for x
    x = 23,256,068.27/7,824.79
  6. Step 6: Final answer
    x = 2,972.10

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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.