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Finding the Fourth Proportional to 10,048.12, 13,866.38 and 5,571.75

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Solution

The fourth proportional to 10,048.12, 13,866.38 and 5,571.75 is: 7,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.12 : 13,866.38 = 5,571.75 : x
  2. Step 2: Convert to fraction form
    10,048.12/13,866.38 = 5,571.75/x
  3. Step 3: Cross multiply
    10,048.12x = 13,866.38 × 5,571.75
  4. Step 4: Simplify right side
    10,048.12x = 77,259,974.91
  5. Step 5: Solve for x
    x = 77,259,974.91/10,048.12
  6. Step 6: Final answer
    x = 7,689.00

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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.