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Finding the Fourth Proportional to 11,801.39, 17,719.52 and 7,877.09

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Solution

The fourth proportional to 11,801.39, 17,719.52 and 7,877.09 is: 11,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.39 : 17,719.52 = 7,877.09 : x
  2. Step 2: Convert to fraction form
    11,801.39/17,719.52 = 7,877.09/x
  3. Step 3: Cross multiply
    11,801.39x = 17,719.52 × 7,877.09
  4. Step 4: Simplify right side
    11,801.39x = 139,578,125.81
  5. Step 5: Solve for x
    x = 139,578,125.81/11,801.39
  6. Step 6: Final answer
    x = 11,827.27

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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.