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Finding the Fourth Proportional to 7,262.15, 10,021.98 and 5,141.46

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Solution

The fourth proportional to 7,262.15, 10,021.98 and 5,141.46 is: 7,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.15 : 10,021.98 = 5,141.46 : x
  2. Step 2: Convert to fraction form
    7,262.15/10,021.98 = 5,141.46/x
  3. Step 3: Cross multiply
    7,262.15x = 10,021.98 × 5,141.46
  4. Step 4: Simplify right side
    7,262.15x = 51,527,609.29
  5. Step 5: Solve for x
    x = 51,527,609.29/7,262.15
  6. Step 6: Final answer
    x = 7,095.37

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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.