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Finding the Fourth Proportional to 10,209.81, 15,321.24 and 6,514.68

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Solution

The fourth proportional to 10,209.81, 15,321.24 and 6,514.68 is: 9,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.81 : 15,321.24 = 6,514.68 : x
  2. Step 2: Convert to fraction form
    10,209.81/15,321.24 = 6,514.68/x
  3. Step 3: Cross multiply
    10,209.81x = 15,321.24 × 6,514.68
  4. Step 4: Simplify right side
    10,209.81x = 99,812,975.80
  5. Step 5: Solve for x
    x = 99,812,975.80/10,209.81
  6. Step 6: Final answer
    x = 9,776.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.