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Finding the Fourth Proportional to 8,782.43, 13,176.07 and 5,077.89

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Solution

The fourth proportional to 8,782.43, 13,176.07 and 5,077.89 is: 7,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.43 : 13,176.07 = 5,077.89 : x
  2. Step 2: Convert to fraction form
    8,782.43/13,176.07 = 5,077.89/x
  3. Step 3: Cross multiply
    8,782.43x = 13,176.07 × 5,077.89
  4. Step 4: Simplify right side
    8,782.43x = 66,906,621.40
  5. Step 5: Solve for x
    x = 66,906,621.40/8,782.43
  6. Step 6: Final answer
    x = 7,618.24

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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.