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Finding the Fourth Proportional to 8,306.67, 11,466.27 and 5,120.49

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Solution

The fourth proportional to 8,306.67, 11,466.27 and 5,120.49 is: 7,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.67 : 11,466.27 = 5,120.49 : x
  2. Step 2: Convert to fraction form
    8,306.67/11,466.27 = 5,120.49/x
  3. Step 3: Cross multiply
    8,306.67x = 11,466.27 × 5,120.49
  4. Step 4: Simplify right side
    8,306.67x = 58,712,920.87
  5. Step 5: Solve for x
    x = 58,712,920.87/8,306.67
  6. Step 6: Final answer
    x = 7,068.17

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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.