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Finding the Fourth Proportional to 10,571.13, 15,844.82 and 5,019.93

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Solution

The fourth proportional to 10,571.13, 15,844.82 and 5,019.93 is: 7,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.13 : 15,844.82 = 5,019.93 : x
  2. Step 2: Convert to fraction form
    10,571.13/15,844.82 = 5,019.93/x
  3. Step 3: Cross multiply
    10,571.13x = 15,844.82 × 5,019.93
  4. Step 4: Simplify right side
    10,571.13x = 79,539,862.16
  5. Step 5: Solve for x
    x = 79,539,862.16/10,571.13
  6. Step 6: Final answer
    x = 7,524.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.