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Finding the Fourth Proportional to 10,378.67, 14,322.43 and 5,662.65

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Solution

The fourth proportional to 10,378.67, 14,322.43 and 5,662.65 is: 7,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.67 : 14,322.43 = 5,662.65 : x
  2. Step 2: Convert to fraction form
    10,378.67/14,322.43 = 5,662.65/x
  3. Step 3: Cross multiply
    10,378.67x = 14,322.43 × 5,662.65
  4. Step 4: Simplify right side
    10,378.67x = 81,102,908.24
  5. Step 5: Solve for x
    x = 81,102,908.24/10,378.67
  6. Step 6: Final answer
    x = 7,814.38

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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.