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Finding the Fourth Proportional to 11,497.41, 17,218.71 and 7,101.54

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Solution

The fourth proportional to 11,497.41, 17,218.71 and 7,101.54 is: 10,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.41 : 17,218.71 = 7,101.54 : x
  2. Step 2: Convert to fraction form
    11,497.41/17,218.71 = 7,101.54/x
  3. Step 3: Cross multiply
    11,497.41x = 17,218.71 × 7,101.54
  4. Step 4: Simplify right side
    11,497.41x = 122,279,357.81
  5. Step 5: Solve for x
    x = 122,279,357.81/11,497.41
  6. Step 6: Final answer
    x = 10,635.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.