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Finding the Fourth Proportional to 8,589.78, 11,852.64 and 4,812.42

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Solution

The fourth proportional to 8,589.78, 11,852.64 and 4,812.42 is: 6,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.78 : 11,852.64 = 4,812.42 : x
  2. Step 2: Convert to fraction form
    8,589.78/11,852.64 = 4,812.42/x
  3. Step 3: Cross multiply
    8,589.78x = 11,852.64 × 4,812.42
  4. Step 4: Simplify right side
    8,589.78x = 57,039,881.79
  5. Step 5: Solve for x
    x = 57,039,881.79/8,589.78
  6. Step 6: Final answer
    x = 6,640.44

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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.