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Finding the Fourth Proportional to 7,677.45, 11,499.17 and 6,266.43

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Solution

The fourth proportional to 7,677.45, 11,499.17 and 6,266.43 is: 9,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.45 : 11,499.17 = 6,266.43 : x
  2. Step 2: Convert to fraction form
    7,677.45/11,499.17 = 6,266.43/x
  3. Step 3: Cross multiply
    7,677.45x = 11,499.17 × 6,266.43
  4. Step 4: Simplify right side
    7,677.45x = 72,058,712.53
  5. Step 5: Solve for x
    x = 72,058,712.53/7,677.45
  6. Step 6: Final answer
    x = 9,385.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.