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Finding the Fourth Proportional to 7,682.75, 11,521.56 and 3,001.55

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Solution

The fourth proportional to 7,682.75, 11,521.56 and 3,001.55 is: 4,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.75 : 11,521.56 = 3,001.55 : x
  2. Step 2: Convert to fraction form
    7,682.75/11,521.56 = 3,001.55/x
  3. Step 3: Cross multiply
    7,682.75x = 11,521.56 × 3,001.55
  4. Step 4: Simplify right side
    7,682.75x = 34,582,465.80
  5. Step 5: Solve for x
    x = 34,582,465.80/7,682.75
  6. Step 6: Final answer
    x = 4,501.32

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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.