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Finding the Fourth Proportional to 10,326.64, 14,251.62 and 5,851.19

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Solution

The fourth proportional to 10,326.64, 14,251.62 and 5,851.19 is: 8,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.64 : 14,251.62 = 5,851.19 : x
  2. Step 2: Convert to fraction form
    10,326.64/14,251.62 = 5,851.19/x
  3. Step 3: Cross multiply
    10,326.64x = 14,251.62 × 5,851.19
  4. Step 4: Simplify right side
    10,326.64x = 83,388,897.38
  5. Step 5: Solve for x
    x = 83,388,897.38/10,326.64
  6. Step 6: Final answer
    x = 8,075.12

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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.