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Finding the Fourth Proportional to 10,987.91, 15,163.40 and 5,952.14

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Solution

The fourth proportional to 10,987.91, 15,163.40 and 5,952.14 is: 8,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.91 : 15,163.40 = 5,952.14 : x
  2. Step 2: Convert to fraction form
    10,987.91/15,163.40 = 5,952.14/x
  3. Step 3: Cross multiply
    10,987.91x = 15,163.40 × 5,952.14
  4. Step 4: Simplify right side
    10,987.91x = 90,254,574.10
  5. Step 5: Solve for x
    x = 90,254,574.10/10,987.91
  6. Step 6: Final answer
    x = 8,213.99

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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.