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Finding the Fourth Proportional to 11,648.32, 17,466.72 and 6,101.44

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Solution

The fourth proportional to 11,648.32, 17,466.72 and 6,101.44 is: 9,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.32 : 17,466.72 = 6,101.44 : x
  2. Step 2: Convert to fraction form
    11,648.32/17,466.72 = 6,101.44/x
  3. Step 3: Cross multiply
    11,648.32x = 17,466.72 × 6,101.44
  4. Step 4: Simplify right side
    11,648.32x = 106,572,144.08
  5. Step 5: Solve for x
    x = 106,572,144.08/11,648.32
  6. Step 6: Final answer
    x = 9,149.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.