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Finding the Fourth Proportional to 6,872.25, 10,322.57 and 6,572.77

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Solution

The fourth proportional to 6,872.25, 10,322.57 and 6,572.77 is: 9,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.25 : 10,322.57 = 6,572.77 : x
  2. Step 2: Convert to fraction form
    6,872.25/10,322.57 = 6,572.77/x
  3. Step 3: Cross multiply
    6,872.25x = 10,322.57 × 6,572.77
  4. Step 4: Simplify right side
    6,872.25x = 67,847,878.42
  5. Step 5: Solve for x
    x = 67,847,878.42/6,872.25
  6. Step 6: Final answer
    x = 9,872.74

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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.