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Finding the Fourth Proportional to 7,758.20, 10,706.10 and 4,221.56

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Solution

The fourth proportional to 7,758.20, 10,706.10 and 4,221.56 is: 5,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.20 : 10,706.10 = 4,221.56 : x
  2. Step 2: Convert to fraction form
    7,758.20/10,706.10 = 4,221.56/x
  3. Step 3: Cross multiply
    7,758.20x = 10,706.10 × 4,221.56
  4. Step 4: Simplify right side
    7,758.20x = 45,196,443.52
  5. Step 5: Solve for x
    x = 45,196,443.52/7,758.20
  6. Step 6: Final answer
    x = 5,825.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.