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Finding the Fourth Proportional to 10,344.78, 14,262.48 and 7,516.26

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Solution

The fourth proportional to 10,344.78, 14,262.48 and 7,516.26 is: 10,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.78 : 14,262.48 = 7,516.26 : x
  2. Step 2: Convert to fraction form
    10,344.78/14,262.48 = 7,516.26/x
  3. Step 3: Cross multiply
    10,344.78x = 14,262.48 × 7,516.26
  4. Step 4: Simplify right side
    10,344.78x = 107,200,507.92
  5. Step 5: Solve for x
    x = 107,200,507.92/10,344.78
  6. Step 6: Final answer
    x = 10,362.76

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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.