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Finding the Fourth Proportional to 10,098, 13,934.82 and 5,621.94

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Solution

The fourth proportional to 10,098, 13,934.82 and 5,621.94 is: 7,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 13,934.82 = 5,621.94 : x
  2. Step 2: Convert to fraction form
    10,098/13,934.82 = 5,621.94/x
  3. Step 3: Cross multiply
    10,098x = 13,934.82 × 5,621.94
  4. Step 4: Simplify right side
    10,098x = 78,340,721.95
  5. Step 5: Solve for x
    x = 78,340,721.95/10,098
  6. Step 6: Final answer
    x = 7,758.04

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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.