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Finding the Fourth Proportional to 10,426.92, 14,388.74 and 5,711.08

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Solution

The fourth proportional to 10,426.92, 14,388.74 and 5,711.08 is: 7,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.92 : 14,388.74 = 5,711.08 : x
  2. Step 2: Convert to fraction form
    10,426.92/14,388.74 = 5,711.08/x
  3. Step 3: Cross multiply
    10,426.92x = 14,388.74 × 5,711.08
  4. Step 4: Simplify right side
    10,426.92x = 82,175,245.24
  5. Step 5: Solve for x
    x = 82,175,245.24/10,426.92
  6. Step 6: Final answer
    x = 7,881.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.