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Finding the Fourth Proportional to 10,538.38, 14,544.42 and 6,062.04

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Solution

The fourth proportional to 10,538.38, 14,544.42 and 6,062.04 is: 8,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.38 : 14,544.42 = 6,062.04 : x
  2. Step 2: Convert to fraction form
    10,538.38/14,544.42 = 6,062.04/x
  3. Step 3: Cross multiply
    10,538.38x = 14,544.42 × 6,062.04
  4. Step 4: Simplify right side
    10,538.38x = 88,168,855.82
  5. Step 5: Solve for x
    x = 88,168,855.82/10,538.38
  6. Step 6: Final answer
    x = 8,366.45

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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.