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Finding the Fourth Proportional to 7,818.46, 11,717.52 and 5,962.75

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Solution

The fourth proportional to 7,818.46, 11,717.52 and 5,962.75 is: 8,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.46 : 11,717.52 = 5,962.75 : x
  2. Step 2: Convert to fraction form
    7,818.46/11,717.52 = 5,962.75/x
  3. Step 3: Cross multiply
    7,818.46x = 11,717.52 × 5,962.75
  4. Step 4: Simplify right side
    7,818.46x = 69,868,642.38
  5. Step 5: Solve for x
    x = 69,868,642.38/7,818.46
  6. Step 6: Final answer
    x = 8,936.37

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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.