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Finding the Fourth Proportional to 7,754.52, 11,632.86 and 2,823.24

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Solution

The fourth proportional to 7,754.52, 11,632.86 and 2,823.24 is: 4,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.52 : 11,632.86 = 2,823.24 : x
  2. Step 2: Convert to fraction form
    7,754.52/11,632.86 = 2,823.24/x
  3. Step 3: Cross multiply
    7,754.52x = 11,632.86 × 2,823.24
  4. Step 4: Simplify right side
    7,754.52x = 32,842,355.67
  5. Step 5: Solve for x
    x = 32,842,355.67/7,754.52
  6. Step 6: Final answer
    x = 4,235.25

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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.