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Finding the Fourth Proportional to 10,999.38, 15,182.58 and 7,419.53

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Solution

The fourth proportional to 10,999.38, 15,182.58 and 7,419.53 is: 10,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.38 : 15,182.58 = 7,419.53 : x
  2. Step 2: Convert to fraction form
    10,999.38/15,182.58 = 7,419.53/x
  3. Step 3: Cross multiply
    10,999.38x = 15,182.58 × 7,419.53
  4. Step 4: Simplify right side
    10,999.38x = 112,647,531.87
  5. Step 5: Solve for x
    x = 112,647,531.87/10,999.38
  6. Step 6: Final answer
    x = 10,241.26

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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.