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Finding the Fourth Proportional to 8,400.75, 11,585.37 and 6,506.28

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Solution

The fourth proportional to 8,400.75, 11,585.37 and 6,506.28 is: 8,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.75 : 11,585.37 = 6,506.28 : x
  2. Step 2: Convert to fraction form
    8,400.75/11,585.37 = 6,506.28/x
  3. Step 3: Cross multiply
    8,400.75x = 11,585.37 × 6,506.28
  4. Step 4: Simplify right side
    8,400.75x = 75,377,661.12
  5. Step 5: Solve for x
    x = 75,377,661.12/8,400.75
  6. Step 6: Final answer
    x = 8,972.73

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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.