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Finding the Fourth Proportional to 8,497.16, 11,696.96 and 7,371.47

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Solution

The fourth proportional to 8,497.16, 11,696.96 and 7,371.47 is: 10,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.16 : 11,696.96 = 7,371.47 : x
  2. Step 2: Convert to fraction form
    8,497.16/11,696.96 = 7,371.47/x
  3. Step 3: Cross multiply
    8,497.16x = 11,696.96 × 7,371.47
  4. Step 4: Simplify right side
    8,497.16x = 86,223,749.68
  5. Step 5: Solve for x
    x = 86,223,749.68/8,497.16
  6. Step 6: Final answer
    x = 10,147.37

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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.