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Finding the Fourth Proportional to 8,283.15, 11,431.07 and 4,747.05

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Solution

The fourth proportional to 8,283.15, 11,431.07 and 4,747.05 is: 6,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.15 : 11,431.07 = 4,747.05 : x
  2. Step 2: Convert to fraction form
    8,283.15/11,431.07 = 4,747.05/x
  3. Step 3: Cross multiply
    8,283.15x = 11,431.07 × 4,747.05
  4. Step 4: Simplify right side
    8,283.15x = 54,263,824.58
  5. Step 5: Solve for x
    x = 54,263,824.58/8,283.15
  6. Step 6: Final answer
    x = 6,551.11

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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.