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Finding the Fourth Proportional to 7,246.67, 9,999.45 and 4,102.25

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Solution

The fourth proportional to 7,246.67, 9,999.45 and 4,102.25 is: 5,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.67 : 9,999.45 = 4,102.25 : x
  2. Step 2: Convert to fraction form
    7,246.67/9,999.45 = 4,102.25/x
  3. Step 3: Cross multiply
    7,246.67x = 9,999.45 × 4,102.25
  4. Step 4: Simplify right side
    7,246.67x = 41,020,243.76
  5. Step 5: Solve for x
    x = 41,020,243.76/7,246.67
  6. Step 6: Final answer
    x = 5,660.56

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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.