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Finding the Fourth Proportional to 8,340.03, 11,506.55 and 5,950.40

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Solution

The fourth proportional to 8,340.03, 11,506.55 and 5,950.40 is: 8,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.03 : 11,506.55 = 5,950.40 : x
  2. Step 2: Convert to fraction form
    8,340.03/11,506.55 = 5,950.40/x
  3. Step 3: Cross multiply
    8,340.03x = 11,506.55 × 5,950.40
  4. Step 4: Simplify right side
    8,340.03x = 68,468,487.84
  5. Step 5: Solve for x
    x = 68,468,487.84/8,340.03
  6. Step 6: Final answer
    x = 8,209.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.