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Finding the Fourth Proportional to 7,766.27, 11,648.08 and 3,816.51

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Solution

The fourth proportional to 7,766.27, 11,648.08 and 3,816.51 is: 5,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.27 : 11,648.08 = 3,816.51 : x
  2. Step 2: Convert to fraction form
    7,766.27/11,648.08 = 3,816.51/x
  3. Step 3: Cross multiply
    7,766.27x = 11,648.08 × 3,816.51
  4. Step 4: Simplify right side
    7,766.27x = 44,455,013.80
  5. Step 5: Solve for x
    x = 44,455,013.80/7,766.27
  6. Step 6: Final answer
    x = 5,724.11

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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.