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Finding the Fourth Proportional to 10,215.30, 15,310.80 and 5,282.40

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Solution

The fourth proportional to 10,215.30, 15,310.80 and 5,282.40 is: 7,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.30 : 15,310.80 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    10,215.30/15,310.80 = 5,282.40/x
  3. Step 3: Cross multiply
    10,215.30x = 15,310.80 × 5,282.40
  4. Step 4: Simplify right side
    10,215.30x = 80,877,769.92
  5. Step 5: Solve for x
    x = 80,877,769.92/10,215.30
  6. Step 6: Final answer
    x = 7,917.32

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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.