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Finding the Fourth Proportional to 10,677.39, 16,018.29 and 3,657.93

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Solution

The fourth proportional to 10,677.39, 16,018.29 and 3,657.93 is: 5,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.39 : 16,018.29 = 3,657.93 : x
  2. Step 2: Convert to fraction form
    10,677.39/16,018.29 = 3,657.93/x
  3. Step 3: Cross multiply
    10,677.39x = 16,018.29 × 3,657.93
  4. Step 4: Simplify right side
    10,677.39x = 58,593,783.54
  5. Step 5: Solve for x
    x = 58,593,783.54/10,677.39
  6. Step 6: Final answer
    x = 5,487.65

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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.