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Finding the Fourth Proportional to 10,677.32, 16,015.49 and 3,657.96

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Solution

The fourth proportional to 10,677.32, 16,015.49 and 3,657.96 is: 5,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.32 : 16,015.49 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    10,677.32/16,015.49 = 3,657.96/x
  3. Step 3: Cross multiply
    10,677.32x = 16,015.49 × 3,657.96
  4. Step 4: Simplify right side
    10,677.32x = 58,584,003.51
  5. Step 5: Solve for x
    x = 58,584,003.51/10,677.32
  6. Step 6: Final answer
    x = 5,486.77

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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.