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Finding the Fourth Proportional to 7,753.36, 11,630.49 and 2,823.52

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Solution

The fourth proportional to 7,753.36, 11,630.49 and 2,823.52 is: 4,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.36 : 11,630.49 = 2,823.52 : x
  2. Step 2: Convert to fraction form
    7,753.36/11,630.49 = 2,823.52/x
  3. Step 3: Cross multiply
    7,753.36x = 11,630.49 × 2,823.52
  4. Step 4: Simplify right side
    7,753.36x = 32,838,921.12
  5. Step 5: Solve for x
    x = 32,838,921.12/7,753.36
  6. Step 6: Final answer
    x = 4,235.44

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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.