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Finding the Fourth Proportional to 10,098.36, 13,934.36 and 5,621.52

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Solution

The fourth proportional to 10,098.36, 13,934.36 and 5,621.52 is: 7,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.36 : 13,934.36 = 5,621.52 : x
  2. Step 2: Convert to fraction form
    10,098.36/13,934.36 = 5,621.52/x
  3. Step 3: Cross multiply
    10,098.36x = 13,934.36 × 5,621.52
  4. Step 4: Simplify right side
    10,098.36x = 78,332,283.43
  5. Step 5: Solve for x
    x = 78,332,283.43/10,098.36
  6. Step 6: Final answer
    x = 7,756.93

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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.