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Finding the Fourth Proportional to 7,244.06, 10,866.08 and 3,780.50

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Solution

The fourth proportional to 7,244.06, 10,866.08 and 3,780.50 is: 5,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.06 : 10,866.08 = 3,780.50 : x
  2. Step 2: Convert to fraction form
    7,244.06/10,866.08 = 3,780.50/x
  3. Step 3: Cross multiply
    7,244.06x = 10,866.08 × 3,780.50
  4. Step 4: Simplify right side
    7,244.06x = 41,079,170.56
  5. Step 5: Solve for x
    x = 41,079,170.56/7,244.06
  6. Step 6: Final answer
    x = 5,670.74

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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.