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Finding the Fourth Proportional to 10,546.88, 14,554.76 and 5,831.33

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Solution

The fourth proportional to 10,546.88, 14,554.76 and 5,831.33 is: 8,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.88 : 14,554.76 = 5,831.33 : x
  2. Step 2: Convert to fraction form
    10,546.88/14,554.76 = 5,831.33/x
  3. Step 3: Cross multiply
    10,546.88x = 14,554.76 × 5,831.33
  4. Step 4: Simplify right side
    10,546.88x = 84,873,506.70
  5. Step 5: Solve for x
    x = 84,873,506.70/10,546.88
  6. Step 6: Final answer
    x = 8,047.27

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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.