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Finding the Fourth Proportional to 10,204.74, 15,292.74 and 8,115.46

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Solution

The fourth proportional to 10,204.74, 15,292.74 and 8,115.46 is: 12,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.74 : 15,292.74 = 8,115.46 : x
  2. Step 2: Convert to fraction form
    10,204.74/15,292.74 = 8,115.46/x
  3. Step 3: Cross multiply
    10,204.74x = 15,292.74 × 8,115.46
  4. Step 4: Simplify right side
    10,204.74x = 124,107,619.76
  5. Step 5: Solve for x
    x = 124,107,619.76/10,204.74
  6. Step 6: Final answer
    x = 12,161.76

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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.