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Finding the Fourth Proportional to 10,378.12, 15,571.20 and 3,808.84

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Solution

The fourth proportional to 10,378.12, 15,571.20 and 3,808.84 is: 5,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.12 : 15,571.20 = 3,808.84 : x
  2. Step 2: Convert to fraction form
    10,378.12/15,571.20 = 3,808.84/x
  3. Step 3: Cross multiply
    10,378.12x = 15,571.20 × 3,808.84
  4. Step 4: Simplify right side
    10,378.12x = 59,308,209.41
  5. Step 5: Solve for x
    x = 59,308,209.41/10,378.12
  6. Step 6: Final answer
    x = 5,714.74

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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.