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Finding the Fourth Proportional to 27,602.22, 41,390.85 and 7,876.08

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Solution

The fourth proportional to 27,602.22, 41,390.85 and 7,876.08 is: 11,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.22 : 41,390.85 = 7,876.08 : x
  2. Step 2: Convert to fraction form
    27,602.22/41,390.85 = 7,876.08/x
  3. Step 3: Cross multiply
    27,602.22x = 41,390.85 × 7,876.08
  4. Step 4: Simplify right side
    27,602.22x = 325,997,645.87
  5. Step 5: Solve for x
    x = 325,997,645.87/27,602.22
  6. Step 6: Final answer
    x = 11,810.56

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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.