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Finding the Fourth Proportional to 10,118.58, 13,965.47 and 6,537.97

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Solution

The fourth proportional to 10,118.58, 13,965.47 and 6,537.97 is: 9,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.58 : 13,965.47 = 6,537.97 : x
  2. Step 2: Convert to fraction form
    10,118.58/13,965.47 = 6,537.97/x
  3. Step 3: Cross multiply
    10,118.58x = 13,965.47 × 6,537.97
  4. Step 4: Simplify right side
    10,118.58x = 91,305,823.90
  5. Step 5: Solve for x
    x = 91,305,823.90/10,118.58
  6. Step 6: Final answer
    x = 9,023.58

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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.