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Finding the Fourth Proportional to 10,878.18, 16,313.77 and 3,480.87

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Solution

The fourth proportional to 10,878.18, 16,313.77 and 3,480.87 is: 5,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.18 : 16,313.77 = 3,480.87 : x
  2. Step 2: Convert to fraction form
    10,878.18/16,313.77 = 3,480.87/x
  3. Step 3: Cross multiply
    10,878.18x = 16,313.77 × 3,480.87
  4. Step 4: Simplify right side
    10,878.18x = 56,786,112.58
  5. Step 5: Solve for x
    x = 56,786,112.58/10,878.18
  6. Step 6: Final answer
    x = 5,220.19

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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.