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Finding the Fourth Proportional to 10,677.58, 14,735 and 5,961.82

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Solution

The fourth proportional to 10,677.58, 14,735 and 5,961.82 is: 8,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.58 : 14,735 = 5,961.82 : x
  2. Step 2: Convert to fraction form
    10,677.58/14,735 = 5,961.82/x
  3. Step 3: Cross multiply
    10,677.58x = 14,735 × 5,961.82
  4. Step 4: Simplify right side
    10,677.58x = 87,847,417.70
  5. Step 5: Solve for x
    x = 87,847,417.70/10,677.58
  6. Step 6: Final answer
    x = 8,227.28

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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.