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Finding the Fourth Proportional to 10,326.79, 14,250.49 and 5,851.20

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Solution

The fourth proportional to 10,326.79, 14,250.49 and 5,851.20 is: 8,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.79 : 14,250.49 = 5,851.20 : x
  2. Step 2: Convert to fraction form
    10,326.79/14,250.49 = 5,851.20/x
  3. Step 3: Cross multiply
    10,326.79x = 14,250.49 × 5,851.20
  4. Step 4: Simplify right side
    10,326.79x = 83,382,467.09
  5. Step 5: Solve for x
    x = 83,382,467.09/10,326.79
  6. Step 6: Final answer
    x = 8,074.38

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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.