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Finding the Fourth Proportional to 7,682.16, 11,511 and 5,724.48

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Solution

The fourth proportional to 7,682.16, 11,511 and 5,724.48 is: 8,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.16 : 11,511 = 5,724.48 : x
  2. Step 2: Convert to fraction form
    7,682.16/11,511 = 5,724.48/x
  3. Step 3: Cross multiply
    7,682.16x = 11,511 × 5,724.48
  4. Step 4: Simplify right side
    7,682.16x = 65,894,489.28
  5. Step 5: Solve for x
    x = 65,894,489.28/7,682.16
  6. Step 6: Final answer
    x = 8,577.60

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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.