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Finding the Fourth Proportional to 8,143.63, 11,238.14 and 4,558.57

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Solution

The fourth proportional to 8,143.63, 11,238.14 and 4,558.57 is: 6,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.63 : 11,238.14 = 4,558.57 : x
  2. Step 2: Convert to fraction form
    8,143.63/11,238.14 = 4,558.57/x
  3. Step 3: Cross multiply
    8,143.63x = 11,238.14 × 4,558.57
  4. Step 4: Simplify right side
    8,143.63x = 51,229,831.16
  5. Step 5: Solve for x
    x = 51,229,831.16/8,143.63
  6. Step 6: Final answer
    x = 6,290.79

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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.