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Finding the Fourth Proportional to 7,770.35, 11,658.97 and 4,071.70

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Solution

The fourth proportional to 7,770.35, 11,658.97 and 4,071.70 is: 6,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.35 : 11,658.97 = 4,071.70 : x
  2. Step 2: Convert to fraction form
    7,770.35/11,658.97 = 4,071.70/x
  3. Step 3: Cross multiply
    7,770.35x = 11,658.97 × 4,071.70
  4. Step 4: Simplify right side
    7,770.35x = 47,471,814.63
  5. Step 5: Solve for x
    x = 47,471,814.63/7,770.35
  6. Step 6: Final answer
    x = 6,109.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.