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Finding the Fourth Proportional to 10,430.92, 15,645.12 and 2,639.80

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Solution

The fourth proportional to 10,430.92, 15,645.12 and 2,639.80 is: 3,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.92 : 15,645.12 = 2,639.80 : x
  2. Step 2: Convert to fraction form
    10,430.92/15,645.12 = 2,639.80/x
  3. Step 3: Cross multiply
    10,430.92x = 15,645.12 × 2,639.80
  4. Step 4: Simplify right side
    10,430.92x = 41,299,987.78
  5. Step 5: Solve for x
    x = 41,299,987.78/10,430.92
  6. Step 6: Final answer
    x = 3,959.38

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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.