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Finding the Fourth Proportional to 7,754.40, 10,701.12 and 4,217.62

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Solution

The fourth proportional to 7,754.40, 10,701.12 and 4,217.62 is: 5,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.40 : 10,701.12 = 4,217.62 : x
  2. Step 2: Convert to fraction form
    7,754.40/10,701.12 = 4,217.62/x
  3. Step 3: Cross multiply
    7,754.40x = 10,701.12 × 4,217.62
  4. Step 4: Simplify right side
    7,754.40x = 45,133,257.73
  5. Step 5: Solve for x
    x = 45,133,257.73/7,754.40
  6. Step 6: Final answer
    x = 5,820.34

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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.