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Finding the Fourth Proportional to 10,464.13, 15,696.24 and 3,543.49

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Solution

The fourth proportional to 10,464.13, 15,696.24 and 3,543.49 is: 5,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.13 : 15,696.24 = 3,543.49 : x
  2. Step 2: Convert to fraction form
    10,464.13/15,696.24 = 3,543.49/x
  3. Step 3: Cross multiply
    10,464.13x = 15,696.24 × 3,543.49
  4. Step 4: Simplify right side
    10,464.13x = 55,619,469.48
  5. Step 5: Solve for x
    x = 55,619,469.48/10,464.13
  6. Step 6: Final answer
    x = 5,315.25

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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.