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Finding the Fourth Proportional to 10,148.87, 14,006.99 and 6,169.23

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Solution

The fourth proportional to 10,148.87, 14,006.99 and 6,169.23 is: 8,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.87 : 14,006.99 = 6,169.23 : x
  2. Step 2: Convert to fraction form
    10,148.87/14,006.99 = 6,169.23/x
  3. Step 3: Cross multiply
    10,148.87x = 14,006.99 × 6,169.23
  4. Step 4: Simplify right side
    10,148.87x = 86,412,358.34
  5. Step 5: Solve for x
    x = 86,412,358.34/10,148.87
  6. Step 6: Final answer
    x = 8,514.48

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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.