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Finding the Fourth Proportional to 10,546.92, 14,554.34 and 5,831.08

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Solution

The fourth proportional to 10,546.92, 14,554.34 and 5,831.08 is: 8,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.92 : 14,554.34 = 5,831.08 : x
  2. Step 2: Convert to fraction form
    10,546.92/14,554.34 = 5,831.08/x
  3. Step 3: Cross multiply
    10,546.92x = 14,554.34 × 5,831.08
  4. Step 4: Simplify right side
    10,546.92x = 84,867,520.89
  5. Step 5: Solve for x
    x = 84,867,520.89/10,546.92
  6. Step 6: Final answer
    x = 8,046.66

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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.