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Finding the Fourth Proportional to 6,923.39, 10,385.19 and 6,587.24

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Solution

The fourth proportional to 6,923.39, 10,385.19 and 6,587.24 is: 9,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.39 : 10,385.19 = 6,587.24 : x
  2. Step 2: Convert to fraction form
    6,923.39/10,385.19 = 6,587.24/x
  3. Step 3: Cross multiply
    6,923.39x = 10,385.19 × 6,587.24
  4. Step 4: Simplify right side
    6,923.39x = 68,409,687.05
  5. Step 5: Solve for x
    x = 68,409,687.05/6,923.39
  6. Step 6: Final answer
    x = 9,880.96

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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.