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Finding the Fourth Proportional to 10,381.59, 15,571.95 and 4,833.03

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Solution

The fourth proportional to 10,381.59, 15,571.95 and 4,833.03 is: 7,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.59 : 15,571.95 = 4,833.03 : x
  2. Step 2: Convert to fraction form
    10,381.59/15,571.95 = 4,833.03/x
  3. Step 3: Cross multiply
    10,381.59x = 15,571.95 × 4,833.03
  4. Step 4: Simplify right side
    10,381.59x = 75,259,701.51
  5. Step 5: Solve for x
    x = 75,259,701.51/10,381.59
  6. Step 6: Final answer
    x = 7,249.34

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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.