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Finding the Fourth Proportional to 10,444.75, 15,667.13 and 3,519.25

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Solution

The fourth proportional to 10,444.75, 15,667.13 and 3,519.25 is: 5,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.75 : 15,667.13 = 3,519.25 : x
  2. Step 2: Convert to fraction form
    10,444.75/15,667.13 = 3,519.25/x
  3. Step 3: Cross multiply
    10,444.75x = 15,667.13 × 3,519.25
  4. Step 4: Simplify right side
    10,444.75x = 55,136,547.25
  5. Step 5: Solve for x
    x = 55,136,547.25/10,444.75
  6. Step 6: Final answer
    x = 5,278.88

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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.