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Finding the Fourth Proportional to 8,345.71, 11,521.60 and 6,640.86

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Solution

The fourth proportional to 8,345.71, 11,521.60 and 6,640.86 is: 9,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.71 : 11,521.60 = 6,640.86 : x
  2. Step 2: Convert to fraction form
    8,345.71/11,521.60 = 6,640.86/x
  3. Step 3: Cross multiply
    8,345.71x = 11,521.60 × 6,640.86
  4. Step 4: Simplify right side
    8,345.71x = 76,513,315.97
  5. Step 5: Solve for x
    x = 76,513,315.97/8,345.71
  6. Step 6: Final answer
    x = 9,167.98

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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.