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Finding the Fourth Proportional to 10,422.84, 15,624.54 and 3,847.26

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Solution

The fourth proportional to 10,422.84, 15,624.54 and 3,847.26 is: 5,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.84 : 15,624.54 = 3,847.26 : x
  2. Step 2: Convert to fraction form
    10,422.84/15,624.54 = 3,847.26/x
  3. Step 3: Cross multiply
    10,422.84x = 15,624.54 × 3,847.26
  4. Step 4: Simplify right side
    10,422.84x = 60,111,667.76
  5. Step 5: Solve for x
    x = 60,111,667.76/10,422.84
  6. Step 6: Final answer
    x = 5,767.30

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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.