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Finding the Fourth Proportional to 10,643.10, 15,965.37 and 3,248.22

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Solution

The fourth proportional to 10,643.10, 15,965.37 and 3,248.22 is: 4,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.10 : 15,965.37 = 3,248.22 : x
  2. Step 2: Convert to fraction form
    10,643.10/15,965.37 = 3,248.22/x
  3. Step 3: Cross multiply
    10,643.10x = 15,965.37 × 3,248.22
  4. Step 4: Simplify right side
    10,643.10x = 51,859,034.14
  5. Step 5: Solve for x
    x = 51,859,034.14/10,643.10
  6. Step 6: Final answer
    x = 4,872.55

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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.