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Finding the Fourth Proportional to 10,159.84, 15,227.58 and 5,231.80

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Solution

The fourth proportional to 10,159.84, 15,227.58 and 5,231.80 is: 7,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.84 : 15,227.58 = 5,231.80 : x
  2. Step 2: Convert to fraction form
    10,159.84/15,227.58 = 5,231.80/x
  3. Step 3: Cross multiply
    10,159.84x = 15,227.58 × 5,231.80
  4. Step 4: Simplify right side
    10,159.84x = 79,667,653.04
  5. Step 5: Solve for x
    x = 79,667,653.04/10,159.84
  6. Step 6: Final answer
    x = 7,841.43

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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.