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Finding the Fourth Proportional to 11,707.37, 16,156.17 and 6,402.68

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Solution

The fourth proportional to 11,707.37, 16,156.17 and 6,402.68 is: 8,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.37 : 16,156.17 = 6,402.68 : x
  2. Step 2: Convert to fraction form
    11,707.37/16,156.17 = 6,402.68/x
  3. Step 3: Cross multiply
    11,707.37x = 16,156.17 × 6,402.68
  4. Step 4: Simplify right side
    11,707.37x = 103,442,705.75
  5. Step 5: Solve for x
    x = 103,442,705.75/11,707.37
  6. Step 6: Final answer
    x = 8,835.69

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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.