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Finding the Fourth Proportional to 10,540.12, 14,538.92 and 6,762

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Solution

The fourth proportional to 10,540.12, 14,538.92 and 6,762 is: 9,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.12 : 14,538.92 = 6,762 : x
  2. Step 2: Convert to fraction form
    10,540.12/14,538.92 = 6,762/x
  3. Step 3: Cross multiply
    10,540.12x = 14,538.92 × 6,762
  4. Step 4: Simplify right side
    10,540.12x = 98,312,177.04
  5. Step 5: Solve for x
    x = 98,312,177.04/10,540.12
  6. Step 6: Final answer
    x = 9,327.42

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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.