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Finding the Fourth Proportional to 10,996.70, 15,175.41 and 6,280.70

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Solution

The fourth proportional to 10,996.70, 15,175.41 and 6,280.70 is: 8,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.70 : 15,175.41 = 6,280.70 : x
  2. Step 2: Convert to fraction form
    10,996.70/15,175.41 = 6,280.70/x
  3. Step 3: Cross multiply
    10,996.70x = 15,175.41 × 6,280.70
  4. Step 4: Simplify right side
    10,996.70x = 95,312,197.59
  5. Step 5: Solve for x
    x = 95,312,197.59/10,996.70
  6. Step 6: Final answer
    x = 8,667.35

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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.