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Finding the Fourth Proportional to 8,289.80, 11,436.12 and 5,778.08

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Solution

The fourth proportional to 8,289.80, 11,436.12 and 5,778.08 is: 7,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.80 : 11,436.12 = 5,778.08 : x
  2. Step 2: Convert to fraction form
    8,289.80/11,436.12 = 5,778.08/x
  3. Step 3: Cross multiply
    8,289.80x = 11,436.12 × 5,778.08
  4. Step 4: Simplify right side
    8,289.80x = 66,078,816.25
  5. Step 5: Solve for x
    x = 66,078,816.25/8,289.80
  6. Step 6: Final answer
    x = 7,971.10

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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.