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Finding the Fourth Proportional to 11,627.78, 16,046.11 and 6,322.55

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Solution

The fourth proportional to 11,627.78, 16,046.11 and 6,322.55 is: 8,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.78 : 16,046.11 = 6,322.55 : x
  2. Step 2: Convert to fraction form
    11,627.78/16,046.11 = 6,322.55/x
  3. Step 3: Cross multiply
    11,627.78x = 16,046.11 × 6,322.55
  4. Step 4: Simplify right side
    11,627.78x = 101,452,332.78
  5. Step 5: Solve for x
    x = 101,452,332.78/11,627.78
  6. Step 6: Final answer
    x = 8,725.00

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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.