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Finding the Fourth Proportional to 10,369.62, 14,310.03 and 5,653.90

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Solution

The fourth proportional to 10,369.62, 14,310.03 and 5,653.90 is: 7,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.62 : 14,310.03 = 5,653.90 : x
  2. Step 2: Convert to fraction form
    10,369.62/14,310.03 = 5,653.90/x
  3. Step 3: Cross multiply
    10,369.62x = 14,310.03 × 5,653.90
  4. Step 4: Simplify right side
    10,369.62x = 80,907,517.71
  5. Step 5: Solve for x
    x = 80,907,517.71/10,369.62
  6. Step 6: Final answer
    x = 7,802.36

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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.