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Finding the Fourth Proportional to 11,627.70, 16,046.25 and 6,322.51

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Solution

The fourth proportional to 11,627.70, 16,046.25 and 6,322.51 is: 8,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.70 : 16,046.25 = 6,322.51 : x
  2. Step 2: Convert to fraction form
    11,627.70/16,046.25 = 6,322.51/x
  3. Step 3: Cross multiply
    11,627.70x = 16,046.25 × 6,322.51
  4. Step 4: Simplify right side
    11,627.70x = 101,452,495.86
  5. Step 5: Solve for x
    x = 101,452,495.86/11,627.70
  6. Step 6: Final answer
    x = 8,725.07

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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.