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Finding the Fourth Proportional to 7,456.91, 11,186.72 and 3,071.98

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Solution

The fourth proportional to 7,456.91, 11,186.72 and 3,071.98 is: 4,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.91 : 11,186.72 = 3,071.98 : x
  2. Step 2: Convert to fraction form
    7,456.91/11,186.72 = 3,071.98/x
  3. Step 3: Cross multiply
    7,456.91x = 11,186.72 × 3,071.98
  4. Step 4: Simplify right side
    7,456.91x = 34,365,308.81
  5. Step 5: Solve for x
    x = 34,365,308.81/7,456.91
  6. Step 6: Final answer
    x = 4,608.52

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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.