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Finding the Fourth Proportional to 10,955.25, 15,118.25 and 5,987.25

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Solution

The fourth proportional to 10,955.25, 15,118.25 and 5,987.25 is: 8,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.25 : 15,118.25 = 5,987.25 : x
  2. Step 2: Convert to fraction form
    10,955.25/15,118.25 = 5,987.25/x
  3. Step 3: Cross multiply
    10,955.25x = 15,118.25 × 5,987.25
  4. Step 4: Simplify right side
    10,955.25x = 90,516,712.38
  5. Step 5: Solve for x
    x = 90,516,712.38/10,955.25
  6. Step 6: Final answer
    x = 8,262.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.