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Finding the Fourth Proportional to 10,872.36, 16,298.76 and 3,942

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Solution

The fourth proportional to 10,872.36, 16,298.76 and 3,942 is: 5,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.36 : 16,298.76 = 3,942 : x
  2. Step 2: Convert to fraction form
    10,872.36/16,298.76 = 3,942/x
  3. Step 3: Cross multiply
    10,872.36x = 16,298.76 × 3,942
  4. Step 4: Simplify right side
    10,872.36x = 64,249,711.92
  5. Step 5: Solve for x
    x = 64,249,711.92/10,872.36
  6. Step 6: Final answer
    x = 5,909.45

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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.