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Finding the Fourth Proportional to 7,758.55, 10,706.91 and 4,221.76

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Solution

The fourth proportional to 7,758.55, 10,706.91 and 4,221.76 is: 5,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.55 : 10,706.91 = 4,221.76 : x
  2. Step 2: Convert to fraction form
    7,758.55/10,706.91 = 4,221.76/x
  3. Step 3: Cross multiply
    7,758.55x = 10,706.91 × 4,221.76
  4. Step 4: Simplify right side
    7,758.55x = 45,202,004.36
  5. Step 5: Solve for x
    x = 45,202,004.36/7,758.55
  6. Step 6: Final answer
    x = 5,826.09

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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.