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Finding the Fourth Proportional to 7,753.52, 11,633.12 and 2,823.46

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Solution

The fourth proportional to 7,753.52, 11,633.12 and 2,823.46 is: 4,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.52 : 11,633.12 = 2,823.46 : x
  2. Step 2: Convert to fraction form
    7,753.52/11,633.12 = 2,823.46/x
  3. Step 3: Cross multiply
    7,753.52x = 11,633.12 × 2,823.46
  4. Step 4: Simplify right side
    7,753.52x = 32,845,649.00
  5. Step 5: Solve for x
    x = 32,845,649.00/7,753.52
  6. Step 6: Final answer
    x = 4,236.22

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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.