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Finding the Fourth Proportional to 7,828.38, 11,728.91 and 6,520.55

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Solution

The fourth proportional to 7,828.38, 11,728.91 and 6,520.55 is: 9,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.38 : 11,728.91 = 6,520.55 : x
  2. Step 2: Convert to fraction form
    7,828.38/11,728.91 = 6,520.55/x
  3. Step 3: Cross multiply
    7,828.38x = 11,728.91 × 6,520.55
  4. Step 4: Simplify right side
    7,828.38x = 76,478,901.76
  5. Step 5: Solve for x
    x = 76,478,901.76/7,828.38
  6. Step 6: Final answer
    x = 9,769.44

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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.