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Finding the Fourth Proportional to 11,708.09, 16,156.91 and 6,402.90

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Solution

The fourth proportional to 11,708.09, 16,156.91 and 6,402.90 is: 8,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.09 : 16,156.91 = 6,402.90 : x
  2. Step 2: Convert to fraction form
    11,708.09/16,156.91 = 6,402.90/x
  3. Step 3: Cross multiply
    11,708.09x = 16,156.91 × 6,402.90
  4. Step 4: Simplify right side
    11,708.09x = 103,451,095.05
  5. Step 5: Solve for x
    x = 103,451,095.05/11,708.09
  6. Step 6: Final answer
    x = 8,835.86

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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.