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Finding the Fourth Proportional to 10,323.10, 14,245.89 and 5,607.38

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Solution

The fourth proportional to 10,323.10, 14,245.89 and 5,607.38 is: 7,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.10 : 14,245.89 = 5,607.38 : x
  2. Step 2: Convert to fraction form
    10,323.10/14,245.89 = 5,607.38/x
  3. Step 3: Cross multiply
    10,323.10x = 14,245.89 × 5,607.38
  4. Step 4: Simplify right side
    10,323.10x = 79,882,175.31
  5. Step 5: Solve for x
    x = 79,882,175.31/10,323.10
  6. Step 6: Final answer
    x = 7,738.20

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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.