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Finding the Fourth Proportional to 10,053.69, 13,872.07 and 6,075.02

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Solution

The fourth proportional to 10,053.69, 13,872.07 and 6,075.02 is: 8,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.69 : 13,872.07 = 6,075.02 : x
  2. Step 2: Convert to fraction form
    10,053.69/13,872.07 = 6,075.02/x
  3. Step 3: Cross multiply
    10,053.69x = 13,872.07 × 6,075.02
  4. Step 4: Simplify right side
    10,053.69x = 84,273,144.97
  5. Step 5: Solve for x
    x = 84,273,144.97/10,053.69
  6. Step 6: Final answer
    x = 8,382.31

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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.