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Finding the Fourth Proportional to 10,952.64, 16,428.15 and 5,401.80

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Solution

The fourth proportional to 10,952.64, 16,428.15 and 5,401.80 is: 8,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.64 : 16,428.15 = 5,401.80 : x
  2. Step 2: Convert to fraction form
    10,952.64/16,428.15 = 5,401.80/x
  3. Step 3: Cross multiply
    10,952.64x = 16,428.15 × 5,401.80
  4. Step 4: Simplify right side
    10,952.64x = 88,741,580.67
  5. Step 5: Solve for x
    x = 88,741,580.67/10,952.64
  6. Step 6: Final answer
    x = 8,102.30

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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.