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Finding the Fourth Proportional to 10,935.96, 16,406.82 and 3,916.68

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Solution

The fourth proportional to 10,935.96, 16,406.82 and 3,916.68 is: 5,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.96 : 16,406.82 = 3,916.68 : x
  2. Step 2: Convert to fraction form
    10,935.96/16,406.82 = 3,916.68/x
  3. Step 3: Cross multiply
    10,935.96x = 16,406.82 × 3,916.68
  4. Step 4: Simplify right side
    10,935.96x = 64,260,263.76
  5. Step 5: Solve for x
    x = 64,260,263.76/10,935.96
  6. Step 6: Final answer
    x = 5,876.05

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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.