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Finding the Fourth Proportional to 7,096.74, 10,645.11 and 2,478.66

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Solution

The fourth proportional to 7,096.74, 10,645.11 and 2,478.66 is: 3,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.74 : 10,645.11 = 2,478.66 : x
  2. Step 2: Convert to fraction form
    7,096.74/10,645.11 = 2,478.66/x
  3. Step 3: Cross multiply
    7,096.74x = 10,645.11 × 2,478.66
  4. Step 4: Simplify right side
    7,096.74x = 26,385,608.35
  5. Step 5: Solve for x
    x = 26,385,608.35/7,096.74
  6. Step 6: Final answer
    x = 3,717.99

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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.