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Finding the Fourth Proportional to 8,391.25, 11,580.06 and 4,665.25

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Solution

The fourth proportional to 8,391.25, 11,580.06 and 4,665.25 is: 6,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.25 : 11,580.06 = 4,665.25 : x
  2. Step 2: Convert to fraction form
    8,391.25/11,580.06 = 4,665.25/x
  3. Step 3: Cross multiply
    8,391.25x = 11,580.06 × 4,665.25
  4. Step 4: Simplify right side
    8,391.25x = 54,023,874.92
  5. Step 5: Solve for x
    x = 54,023,874.92/8,391.25
  6. Step 6: Final answer
    x = 6,438.12

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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.