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Finding the Fourth Proportional to 10,902.39, 16,356 and 3,976.89

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Solution

The fourth proportional to 10,902.39, 16,356 and 3,976.89 is: 5,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.39 : 16,356 = 3,976.89 : x
  2. Step 2: Convert to fraction form
    10,902.39/16,356 = 3,976.89/x
  3. Step 3: Cross multiply
    10,902.39x = 16,356 × 3,976.89
  4. Step 4: Simplify right side
    10,902.39x = 65,046,012.84
  5. Step 5: Solve for x
    x = 65,046,012.84/10,902.39
  6. Step 6: Final answer
    x = 5,966.22

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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.