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Finding the Fourth Proportional to 8,143.54, 11,238.11 and 4,417.54

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Solution

The fourth proportional to 8,143.54, 11,238.11 and 4,417.54 is: 6,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.54 : 11,238.11 = 4,417.54 : x
  2. Step 2: Convert to fraction form
    8,143.54/11,238.11 = 4,417.54/x
  3. Step 3: Cross multiply
    8,143.54x = 11,238.11 × 4,417.54
  4. Step 4: Simplify right side
    8,143.54x = 49,644,800.45
  5. Step 5: Solve for x
    x = 49,644,800.45/8,143.54
  6. Step 6: Final answer
    x = 6,096.22

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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.