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Finding the Fourth Proportional to 10,227.42, 15,345.09 and 3,987.99

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Solution

The fourth proportional to 10,227.42, 15,345.09 and 3,987.99 is: 5,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.42 : 15,345.09 = 3,987.99 : x
  2. Step 2: Convert to fraction form
    10,227.42/15,345.09 = 3,987.99/x
  3. Step 3: Cross multiply
    10,227.42x = 15,345.09 × 3,987.99
  4. Step 4: Simplify right side
    10,227.42x = 61,196,065.47
  5. Step 5: Solve for x
    x = 61,196,065.47/10,227.42
  6. Step 6: Final answer
    x = 5,983.53

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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.