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Finding the Fourth Proportional to 7,988.81, 11,983.75 and 5,823.41

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Solution

The fourth proportional to 7,988.81, 11,983.75 and 5,823.41 is: 8,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.81 : 11,983.75 = 5,823.41 : x
  2. Step 2: Convert to fraction form
    7,988.81/11,983.75 = 5,823.41/x
  3. Step 3: Cross multiply
    7,988.81x = 11,983.75 × 5,823.41
  4. Step 4: Simplify right side
    7,988.81x = 69,786,215.11
  5. Step 5: Solve for x
    x = 69,786,215.11/7,988.81
  6. Step 6: Final answer
    x = 8,735.50

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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.