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Finding the Fourth Proportional to 11,707.81, 16,156.83 and 6,402.62

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Solution

The fourth proportional to 11,707.81, 16,156.83 and 6,402.62 is: 8,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.81 : 16,156.83 = 6,402.62 : x
  2. Step 2: Convert to fraction form
    11,707.81/16,156.83 = 6,402.62/x
  3. Step 3: Cross multiply
    11,707.81x = 16,156.83 × 6,402.62
  4. Step 4: Simplify right side
    11,707.81x = 103,446,042.89
  5. Step 5: Solve for x
    x = 103,446,042.89/11,707.81
  6. Step 6: Final answer
    x = 8,835.64

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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.