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Finding the Fourth Proportional to 10,665.66, 14,717.44 and 7,516.38

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Solution

The fourth proportional to 10,665.66, 14,717.44 and 7,516.38 is: 10,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.66 : 14,717.44 = 7,516.38 : x
  2. Step 2: Convert to fraction form
    10,665.66/14,717.44 = 7,516.38/x
  3. Step 3: Cross multiply
    10,665.66x = 14,717.44 × 7,516.38
  4. Step 4: Simplify right side
    10,665.66x = 110,621,779.29
  5. Step 5: Solve for x
    x = 110,621,779.29/10,665.66
  6. Step 6: Final answer
    x = 10,371.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.