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Finding the Fourth Proportional to 11,012.62, 15,197.40 and 6,297

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Solution

The fourth proportional to 11,012.62, 15,197.40 and 6,297 is: 8,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.62 : 15,197.40 = 6,297 : x
  2. Step 2: Convert to fraction form
    11,012.62/15,197.40 = 6,297/x
  3. Step 3: Cross multiply
    11,012.62x = 15,197.40 × 6,297
  4. Step 4: Simplify right side
    11,012.62x = 95,698,027.80
  5. Step 5: Solve for x
    x = 95,698,027.80/11,012.62
  6. Step 6: Final answer
    x = 8,689.85

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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.