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Finding the Fourth Proportional to 11,644.50, 16,070.37 and 6,677.46

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Solution

The fourth proportional to 11,644.50, 16,070.37 and 6,677.46 is: 9,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.50 : 16,070.37 = 6,677.46 : x
  2. Step 2: Convert to fraction form
    11,644.50/16,070.37 = 6,677.46/x
  3. Step 3: Cross multiply
    11,644.50x = 16,070.37 × 6,677.46
  4. Step 4: Simplify right side
    11,644.50x = 107,309,252.86
  5. Step 5: Solve for x
    x = 107,309,252.86/11,644.50
  6. Step 6: Final answer
    x = 9,215.45

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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.