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Finding the Fourth Proportional to 10,665.91, 14,717.78 and 7,516.63

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Solution

The fourth proportional to 10,665.91, 14,717.78 and 7,516.63 is: 10,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.91 : 14,717.78 = 7,516.63 : x
  2. Step 2: Convert to fraction form
    10,665.91/14,717.78 = 7,516.63/x
  3. Step 3: Cross multiply
    10,665.91x = 14,717.78 × 7,516.63
  4. Step 4: Simplify right side
    10,665.91x = 110,628,033.09
  5. Step 5: Solve for x
    x = 110,628,033.09/10,665.91
  6. Step 6: Final answer
    x = 10,372.12

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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.