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Finding the Fourth Proportional to 8,281.83, 11,431.40 and 4,747.40

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Solution

The fourth proportional to 8,281.83, 11,431.40 and 4,747.40 is: 6,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.83 : 11,431.40 = 4,747.40 : x
  2. Step 2: Convert to fraction form
    8,281.83/11,431.40 = 4,747.40/x
  3. Step 3: Cross multiply
    8,281.83x = 11,431.40 × 4,747.40
  4. Step 4: Simplify right side
    8,281.83x = 54,269,428.36
  5. Step 5: Solve for x
    x = 54,269,428.36/8,281.83
  6. Step 6: Final answer
    x = 6,552.83

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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.