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Finding the Fourth Proportional to 7,728.16, 11,593.10 and 2,461.95

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Solution

The fourth proportional to 7,728.16, 11,593.10 and 2,461.95 is: 3,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.16 : 11,593.10 = 2,461.95 : x
  2. Step 2: Convert to fraction form
    7,728.16/11,593.10 = 2,461.95/x
  3. Step 3: Cross multiply
    7,728.16x = 11,593.10 × 2,461.95
  4. Step 4: Simplify right side
    7,728.16x = 28,541,611.90
  5. Step 5: Solve for x
    x = 28,541,611.90/7,728.16
  6. Step 6: Final answer
    x = 3,693.19

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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.