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Finding the Fourth Proportional to 8,281.38, 11,428.77 and 4,745.18

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Solution

The fourth proportional to 8,281.38, 11,428.77 and 4,745.18 is: 6,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.38 : 11,428.77 = 4,745.18 : x
  2. Step 2: Convert to fraction form
    8,281.38/11,428.77 = 4,745.18/x
  3. Step 3: Cross multiply
    8,281.38x = 11,428.77 × 4,745.18
  4. Step 4: Simplify right side
    8,281.38x = 54,231,570.83
  5. Step 5: Solve for x
    x = 54,231,570.83/8,281.38
  6. Step 6: Final answer
    x = 6,548.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.