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Finding the Fourth Proportional to 7,758.35, 10,706.79 and 4,221.69

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Solution

The fourth proportional to 7,758.35, 10,706.79 and 4,221.69 is: 5,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.35 : 10,706.79 = 4,221.69 : x
  2. Step 2: Convert to fraction form
    7,758.35/10,706.79 = 4,221.69/x
  3. Step 3: Cross multiply
    7,758.35x = 10,706.79 × 4,221.69
  4. Step 4: Simplify right side
    7,758.35x = 45,200,748.28
  5. Step 5: Solve for x
    x = 45,200,748.28/7,758.35
  6. Step 6: Final answer
    x = 5,826.08

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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.