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Finding the Fourth Proportional to 27,111.96, 40,661.64 and 7,386.57

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Solution

The fourth proportional to 27,111.96, 40,661.64 and 7,386.57 is: 11,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.96 : 40,661.64 = 7,386.57 : x
  2. Step 2: Convert to fraction form
    27,111.96/40,661.64 = 7,386.57/x
  3. Step 3: Cross multiply
    27,111.96x = 40,661.64 × 7,386.57
  4. Step 4: Simplify right side
    27,111.96x = 300,350,050.17
  5. Step 5: Solve for x
    x = 300,350,050.17/27,111.96
  6. Step 6: Final answer
    x = 11,078.14

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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.