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Finding the Fourth Proportional to 8,366.96, 11,546.49 and 4,590.13

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Solution

The fourth proportional to 8,366.96, 11,546.49 and 4,590.13 is: 6,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.96 : 11,546.49 = 4,590.13 : x
  2. Step 2: Convert to fraction form
    8,366.96/11,546.49 = 4,590.13/x
  3. Step 3: Cross multiply
    8,366.96x = 11,546.49 × 4,590.13
  4. Step 4: Simplify right side
    8,366.96x = 52,999,890.14
  5. Step 5: Solve for x
    x = 52,999,890.14/8,366.96
  6. Step 6: Final answer
    x = 6,334.43

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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.