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Finding the Fourth Proportional to 10,115.84, 13,957.80 and 5,923.28

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Solution

The fourth proportional to 10,115.84, 13,957.80 and 5,923.28 is: 8,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.84 : 13,957.80 = 5,923.28 : x
  2. Step 2: Convert to fraction form
    10,115.84/13,957.80 = 5,923.28/x
  3. Step 3: Cross multiply
    10,115.84x = 13,957.80 × 5,923.28
  4. Step 4: Simplify right side
    10,115.84x = 82,675,957.58
  5. Step 5: Solve for x
    x = 82,675,957.58/10,115.84
  6. Step 6: Final answer
    x = 8,172.92

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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.