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Finding the Fourth Proportional to 7,824.64, 11,737.14 and 3,145.12

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Solution

The fourth proportional to 7,824.64, 11,737.14 and 3,145.12 is: 4,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.64 : 11,737.14 = 3,145.12 : x
  2. Step 2: Convert to fraction form
    7,824.64/11,737.14 = 3,145.12/x
  3. Step 3: Cross multiply
    7,824.64x = 11,737.14 × 3,145.12
  4. Step 4: Simplify right side
    7,824.64x = 36,914,713.76
  5. Step 5: Solve for x
    x = 36,914,713.76/7,824.64
  6. Step 6: Final answer
    x = 4,717.75

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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.