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Finding the Fourth Proportional to 10,141.20, 15,211.80 and 5,220.45

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Solution

The fourth proportional to 10,141.20, 15,211.80 and 5,220.45 is: 7,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.20 : 15,211.80 = 5,220.45 : x
  2. Step 2: Convert to fraction form
    10,141.20/15,211.80 = 5,220.45/x
  3. Step 3: Cross multiply
    10,141.20x = 15,211.80 × 5,220.45
  4. Step 4: Simplify right side
    10,141.20x = 79,412,441.31
  5. Step 5: Solve for x
    x = 79,412,441.31/10,141.20
  6. Step 6: Final answer
    x = 7,830.68

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