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Finding the Fourth Proportional to 10,812.50, 14,921.26 and 5,844.50

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Solution

The fourth proportional to 10,812.50, 14,921.26 and 5,844.50 is: 8,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.50 : 14,921.26 = 5,844.50 : x
  2. Step 2: Convert to fraction form
    10,812.50/14,921.26 = 5,844.50/x
  3. Step 3: Cross multiply
    10,812.50x = 14,921.26 × 5,844.50
  4. Step 4: Simplify right side
    10,812.50x = 87,207,304.07
  5. Step 5: Solve for x
    x = 87,207,304.07/10,812.50
  6. Step 6: Final answer
    x = 8,065.42

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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.