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Finding the Fourth Proportional to 7,277.61, 10,042.81 and 4,091.04

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Solution

The fourth proportional to 7,277.61, 10,042.81 and 4,091.04 is: 5,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.61 : 10,042.81 = 4,091.04 : x
  2. Step 2: Convert to fraction form
    7,277.61/10,042.81 = 4,091.04/x
  3. Step 3: Cross multiply
    7,277.61x = 10,042.81 × 4,091.04
  4. Step 4: Simplify right side
    7,277.61x = 41,085,581.07
  5. Step 5: Solve for x
    x = 41,085,581.07/7,277.61
  6. Step 6: Final answer
    x = 5,645.48

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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.