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Finding the Fourth Proportional to 10,085.35, 15,109.80 and 8,226.40

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Solution

The fourth proportional to 10,085.35, 15,109.80 and 8,226.40 is: 12,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.35 : 15,109.80 = 8,226.40 : x
  2. Step 2: Convert to fraction form
    10,085.35/15,109.80 = 8,226.40/x
  3. Step 3: Cross multiply
    10,085.35x = 15,109.80 × 8,226.40
  4. Step 4: Simplify right side
    10,085.35x = 124,299,258.72
  5. Step 5: Solve for x
    x = 124,299,258.72/10,085.35
  6. Step 6: Final answer
    x = 12,324.73

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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.