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Finding the Fourth Proportional to 10,428.75, 15,643.13 and 3,503.25

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Solution

The fourth proportional to 10,428.75, 15,643.13 and 3,503.25 is: 5,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 15,643.13 = 3,503.25 : x
  2. Step 2: Convert to fraction form
    10,428.75/15,643.13 = 3,503.25/x
  3. Step 3: Cross multiply
    10,428.75x = 15,643.13 × 3,503.25
  4. Step 4: Simplify right side
    10,428.75x = 54,801,777.66
  5. Step 5: Solve for x
    x = 54,801,777.66/10,428.75
  6. Step 6: Final answer
    x = 5,254.88

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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.