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Finding the Fourth Proportional to 10,824.50, 16,215.72 and 7,115.48

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Solution

The fourth proportional to 10,824.50, 16,215.72 and 7,115.48 is: 10,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.50 : 16,215.72 = 7,115.48 : x
  2. Step 2: Convert to fraction form
    10,824.50/16,215.72 = 7,115.48/x
  3. Step 3: Cross multiply
    10,824.50x = 16,215.72 × 7,115.48
  4. Step 4: Simplify right side
    10,824.50x = 115,382,631.35
  5. Step 5: Solve for x
    x = 115,382,631.35/10,824.50
  6. Step 6: Final answer
    x = 10,659.40

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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.