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Finding the Fourth Proportional to 8,225.78, 11,351.87 and 4,688.42

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Solution

The fourth proportional to 8,225.78, 11,351.87 and 4,688.42 is: 6,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.78 : 11,351.87 = 4,688.42 : x
  2. Step 2: Convert to fraction form
    8,225.78/11,351.87 = 4,688.42/x
  3. Step 3: Cross multiply
    8,225.78x = 11,351.87 × 4,688.42
  4. Step 4: Simplify right side
    8,225.78x = 53,222,334.35
  5. Step 5: Solve for x
    x = 53,222,334.35/8,225.78
  6. Step 6: Final answer
    x = 6,470.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.