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Finding the Fourth Proportional to 10,426.13, 14,388.05 and 5,710.42

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Solution

The fourth proportional to 10,426.13, 14,388.05 and 5,710.42 is: 7,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.13 : 14,388.05 = 5,710.42 : x
  2. Step 2: Convert to fraction form
    10,426.13/14,388.05 = 5,710.42/x
  3. Step 3: Cross multiply
    10,426.13x = 14,388.05 × 5,710.42
  4. Step 4: Simplify right side
    10,426.13x = 82,161,786.79
  5. Step 5: Solve for x
    x = 82,161,786.79/10,426.13
  6. Step 6: Final answer
    x = 7,880.38

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Why These Related Problems?

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