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Finding the Fourth Proportional to 10,212.84, 15,319.26 and 3,287.88

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Solution

The fourth proportional to 10,212.84, 15,319.26 and 3,287.88 is: 4,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.84 : 15,319.26 = 3,287.88 : x
  2. Step 2: Convert to fraction form
    10,212.84/15,319.26 = 3,287.88/x
  3. Step 3: Cross multiply
    10,212.84x = 15,319.26 × 3,287.88
  4. Step 4: Simplify right side
    10,212.84x = 50,367,888.57
  5. Step 5: Solve for x
    x = 50,367,888.57/10,212.84
  6. Step 6: Final answer
    x = 4,931.82

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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.