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Finding the Fourth Proportional to 11,860.67, 16,345.25 and 8,497.71

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Solution

The fourth proportional to 11,860.67, 16,345.25 and 8,497.71 is: 11,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.67 : 16,345.25 = 8,497.71 : x
  2. Step 2: Convert to fraction form
    11,860.67/16,345.25 = 8,497.71/x
  3. Step 3: Cross multiply
    11,860.67x = 16,345.25 × 8,497.71
  4. Step 4: Simplify right side
    11,860.67x = 138,897,194.38
  5. Step 5: Solve for x
    x = 138,897,194.38/11,860.67
  6. Step 6: Final answer
    x = 11,710.74

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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.