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Finding the Fourth Proportional to 10,645.69, 15,954.38 and 5,647.03

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Solution

The fourth proportional to 10,645.69, 15,954.38 and 5,647.03 is: 8,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.69 : 15,954.38 = 5,647.03 : x
  2. Step 2: Convert to fraction form
    10,645.69/15,954.38 = 5,647.03/x
  3. Step 3: Cross multiply
    10,645.69x = 15,954.38 × 5,647.03
  4. Step 4: Simplify right side
    10,645.69x = 90,094,862.49
  5. Step 5: Solve for x
    x = 90,094,862.49/10,645.69
  6. Step 6: Final answer
    x = 8,463.04

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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.