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Finding the Fourth Proportional to 7,693.73, 11,535.98 and 3,008.15

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Solution

The fourth proportional to 7,693.73, 11,535.98 and 3,008.15 is: 4,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.73 : 11,535.98 = 3,008.15 : x
  2. Step 2: Convert to fraction form
    7,693.73/11,535.98 = 3,008.15/x
  3. Step 3: Cross multiply
    7,693.73x = 11,535.98 × 3,008.15
  4. Step 4: Simplify right side
    7,693.73x = 34,701,972.04
  5. Step 5: Solve for x
    x = 34,701,972.04/7,693.73
  6. Step 6: Final answer
    x = 4,510.42

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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.