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Finding the Fourth Proportional to 10,512.91, 15,766.61 and 4,964.77

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Solution

The fourth proportional to 10,512.91, 15,766.61 and 4,964.77 is: 7,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.91 : 15,766.61 = 4,964.77 : x
  2. Step 2: Convert to fraction form
    10,512.91/15,766.61 = 4,964.77/x
  3. Step 3: Cross multiply
    10,512.91x = 15,766.61 × 4,964.77
  4. Step 4: Simplify right side
    10,512.91x = 78,277,513.50
  5. Step 5: Solve for x
    x = 78,277,513.50/10,512.91
  6. Step 6: Final answer
    x = 7,445.85

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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.