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Finding the Fourth Proportional to 10,204.60, 15,315.09 and 5,275.68

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Solution

The fourth proportional to 10,204.60, 15,315.09 and 5,275.68 is: 7,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.60 : 15,315.09 = 5,275.68 : x
  2. Step 2: Convert to fraction form
    10,204.60/15,315.09 = 5,275.68/x
  3. Step 3: Cross multiply
    10,204.60x = 15,315.09 × 5,275.68
  4. Step 4: Simplify right side
    10,204.60x = 80,797,514.01
  5. Step 5: Solve for x
    x = 80,797,514.01/10,204.60
  6. Step 6: Final answer
    x = 7,917.75

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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.