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Finding the Fourth Proportional to 7,537.90, 10,410.82 and 5,143.77

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Solution

The fourth proportional to 7,537.90, 10,410.82 and 5,143.77 is: 7,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.90 : 10,410.82 = 5,143.77 : x
  2. Step 2: Convert to fraction form
    7,537.90/10,410.82 = 5,143.77/x
  3. Step 3: Cross multiply
    7,537.90x = 10,410.82 × 5,143.77
  4. Step 4: Simplify right side
    7,537.90x = 53,550,863.59
  5. Step 5: Solve for x
    x = 53,550,863.59/7,537.90
  6. Step 6: Final answer
    x = 7,104.22

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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.