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Finding the Fourth Proportional to 11,463.96, 15,817.50 and 7,270.68

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Solution

The fourth proportional to 11,463.96, 15,817.50 and 7,270.68 is: 10,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.96 : 15,817.50 = 7,270.68 : x
  2. Step 2: Convert to fraction form
    11,463.96/15,817.50 = 7,270.68/x
  3. Step 3: Cross multiply
    11,463.96x = 15,817.50 × 7,270.68
  4. Step 4: Simplify right side
    11,463.96x = 115,003,980.90
  5. Step 5: Solve for x
    x = 115,003,980.90/11,463.96
  6. Step 6: Final answer
    x = 10,031.78

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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.