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Finding the Fourth Proportional to 7,447.84, 10,272.16 and 4,795.52

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Solution

The fourth proportional to 7,447.84, 10,272.16 and 4,795.52 is: 6,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.84 : 10,272.16 = 4,795.52 : x
  2. Step 2: Convert to fraction form
    7,447.84/10,272.16 = 4,795.52/x
  3. Step 3: Cross multiply
    7,447.84x = 10,272.16 × 4,795.52
  4. Step 4: Simplify right side
    7,447.84x = 49,260,348.72
  5. Step 5: Solve for x
    x = 49,260,348.72/7,447.84
  6. Step 6: Final answer
    x = 6,614.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.