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Finding the Fourth Proportional to 11,648.66, 16,076.20 and 6,613.08

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Solution

The fourth proportional to 11,648.66, 16,076.20 and 6,613.08 is: 9,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.66 : 16,076.20 = 6,613.08 : x
  2. Step 2: Convert to fraction form
    11,648.66/16,076.20 = 6,613.08/x
  3. Step 3: Cross multiply
    11,648.66x = 16,076.20 × 6,613.08
  4. Step 4: Simplify right side
    11,648.66x = 106,313,196.70
  5. Step 5: Solve for x
    x = 106,313,196.70/11,648.66
  6. Step 6: Final answer
    x = 9,126.65

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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.