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Finding the Fourth Proportional to 10,948.96, 16,424.16 and 3,928.24

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Solution

The fourth proportional to 10,948.96, 16,424.16 and 3,928.24 is: 5,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.96 : 16,424.16 = 3,928.24 : x
  2. Step 2: Convert to fraction form
    10,948.96/16,424.16 = 3,928.24/x
  3. Step 3: Cross multiply
    10,948.96x = 16,424.16 × 3,928.24
  4. Step 4: Simplify right side
    10,948.96x = 64,518,042.28
  5. Step 5: Solve for x
    x = 64,518,042.28/10,948.96
  6. Step 6: Final answer
    x = 5,892.62

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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.