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Finding the Fourth Proportional to 10,993.84, 15,170.76 and 6,801.28

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Solution

The fourth proportional to 10,993.84, 15,170.76 and 6,801.28 is: 9,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.84 : 15,170.76 = 6,801.28 : x
  2. Step 2: Convert to fraction form
    10,993.84/15,170.76 = 6,801.28/x
  3. Step 3: Cross multiply
    10,993.84x = 15,170.76 × 6,801.28
  4. Step 4: Simplify right side
    10,993.84x = 103,180,586.57
  5. Step 5: Solve for x
    x = 103,180,586.57/10,993.84
  6. Step 6: Final answer
    x = 9,385.31

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