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Finding the Fourth Proportional to 7,895.16, 11,825.73 and 3,728.88

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Solution

The fourth proportional to 7,895.16, 11,825.73 and 3,728.88 is: 5,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.16 : 11,825.73 = 3,728.88 : x
  2. Step 2: Convert to fraction form
    7,895.16/11,825.73 = 3,728.88/x
  3. Step 3: Cross multiply
    7,895.16x = 11,825.73 × 3,728.88
  4. Step 4: Simplify right side
    7,895.16x = 44,096,728.08
  5. Step 5: Solve for x
    x = 44,096,728.08/7,895.16
  6. Step 6: Final answer
    x = 5,585.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.