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Finding the Fourth Proportional to 7,652.52, 11,474.80 and 2,721.44

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Solution

The fourth proportional to 7,652.52, 11,474.80 and 2,721.44 is: 4,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.52 : 11,474.80 = 2,721.44 : x
  2. Step 2: Convert to fraction form
    7,652.52/11,474.80 = 2,721.44/x
  3. Step 3: Cross multiply
    7,652.52x = 11,474.80 × 2,721.44
  4. Step 4: Simplify right side
    7,652.52x = 31,227,979.71
  5. Step 5: Solve for x
    x = 31,227,979.71/7,652.52
  6. Step 6: Final answer
    x = 4,080.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.