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Finding the Fourth Proportional to 7,728.24, 11,593.01 and 2,464

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Solution

The fourth proportional to 7,728.24, 11,593.01 and 2,464 is: 3,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.24 : 11,593.01 = 2,464 : x
  2. Step 2: Convert to fraction form
    7,728.24/11,593.01 = 2,464/x
  3. Step 3: Cross multiply
    7,728.24x = 11,593.01 × 2,464
  4. Step 4: Simplify right side
    7,728.24x = 28,565,176.64
  5. Step 5: Solve for x
    x = 28,565,176.64/7,728.24
  6. Step 6: Final answer
    x = 3,696.21

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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.