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Finding the Fourth Proportional to 7,858.06, 11,770.15 and 3,691.82

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Solution

The fourth proportional to 7,858.06, 11,770.15 and 3,691.82 is: 5,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.06 : 11,770.15 = 3,691.82 : x
  2. Step 2: Convert to fraction form
    7,858.06/11,770.15 = 3,691.82/x
  3. Step 3: Cross multiply
    7,858.06x = 11,770.15 × 3,691.82
  4. Step 4: Simplify right side
    7,858.06x = 43,453,275.17
  5. Step 5: Solve for x
    x = 43,453,275.17/7,858.06
  6. Step 6: Final answer
    x = 5,529.77

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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.