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Finding the Fourth Proportional to 7,105.73, 10,645.02 and 4,324.19

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Solution

The fourth proportional to 7,105.73, 10,645.02 and 4,324.19 is: 6,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.73 : 10,645.02 = 4,324.19 : x
  2. Step 2: Convert to fraction form
    7,105.73/10,645.02 = 4,324.19/x
  3. Step 3: Cross multiply
    7,105.73x = 10,645.02 × 4,324.19
  4. Step 4: Simplify right side
    7,105.73x = 46,031,035.81
  5. Step 5: Solve for x
    x = 46,031,035.81/7,105.73
  6. Step 6: Final answer
    x = 6,478.02

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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.