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Finding the Fourth Proportional to 8,346.48, 11,456.81 and 7,381.14

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Solution

The fourth proportional to 8,346.48, 11,456.81 and 7,381.14 is: 10,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.48 : 11,456.81 = 7,381.14 : x
  2. Step 2: Convert to fraction form
    8,346.48/11,456.81 = 7,381.14/x
  3. Step 3: Cross multiply
    8,346.48x = 11,456.81 × 7,381.14
  4. Step 4: Simplify right side
    8,346.48x = 84,564,281.66
  5. Step 5: Solve for x
    x = 84,564,281.66/8,346.48
  6. Step 6: Final answer
    x = 10,131.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.