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Finding the Fourth Proportional to 7,460.82, 11,191.86 and 4,858.29

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Solution

The fourth proportional to 7,460.82, 11,191.86 and 4,858.29 is: 7,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.82 : 11,191.86 = 4,858.29 : x
  2. Step 2: Convert to fraction form
    7,460.82/11,191.86 = 4,858.29/x
  3. Step 3: Cross multiply
    7,460.82x = 11,191.86 × 4,858.29
  4. Step 4: Simplify right side
    7,460.82x = 54,373,301.52
  5. Step 5: Solve for x
    x = 54,373,301.52/7,460.82
  6. Step 6: Final answer
    x = 7,287.85

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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.