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Finding the Fourth Proportional to 27,888.14, 41,832.22 and 7,111.64

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Solution

The fourth proportional to 27,888.14, 41,832.22 and 7,111.64 is: 10,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.14 : 41,832.22 = 7,111.64 : x
  2. Step 2: Convert to fraction form
    27,888.14/41,832.22 = 7,111.64/x
  3. Step 3: Cross multiply
    27,888.14x = 41,832.22 × 7,111.64
  4. Step 4: Simplify right side
    27,888.14x = 297,495,689.04
  5. Step 5: Solve for x
    x = 297,495,689.04/27,888.14
  6. Step 6: Final answer
    x = 10,667.46

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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.