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Finding the Fourth Proportional to 10,358.68, 14,296.62 and 6,169.36

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Solution

The fourth proportional to 10,358.68, 14,296.62 and 6,169.36 is: 8,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.68 : 14,296.62 = 6,169.36 : x
  2. Step 2: Convert to fraction form
    10,358.68/14,296.62 = 6,169.36/x
  3. Step 3: Cross multiply
    10,358.68x = 14,296.62 × 6,169.36
  4. Step 4: Simplify right side
    10,358.68x = 88,200,995.56
  5. Step 5: Solve for x
    x = 88,200,995.56/10,358.68
  6. Step 6: Final answer
    x = 8,514.69

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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.