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Finding the Fourth Proportional to 10,189.62, 14,067.81 and 6,658.74

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Solution

The fourth proportional to 10,189.62, 14,067.81 and 6,658.74 is: 9,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.62 : 14,067.81 = 6,658.74 : x
  2. Step 2: Convert to fraction form
    10,189.62/14,067.81 = 6,658.74/x
  3. Step 3: Cross multiply
    10,189.62x = 14,067.81 × 6,658.74
  4. Step 4: Simplify right side
    10,189.62x = 93,673,889.16
  5. Step 5: Solve for x
    x = 93,673,889.16/10,189.62
  6. Step 6: Final answer
    x = 9,193.07

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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.