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Finding the Fourth Proportional to 10,952.25, 15,142.91 and 10,462.65

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Solution

The fourth proportional to 10,952.25, 15,142.91 and 10,462.65 is: 14,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.25 : 15,142.91 = 10,462.65 : x
  2. Step 2: Convert to fraction form
    10,952.25/15,142.91 = 10,462.65/x
  3. Step 3: Cross multiply
    10,952.25x = 15,142.91 × 10,462.65
  4. Step 4: Simplify right side
    10,952.25x = 158,434,915.00
  5. Step 5: Solve for x
    x = 158,434,915.00/10,952.25
  6. Step 6: Final answer
    x = 14,465.97

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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.