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Finding the Fourth Proportional to 11,707.70, 16,155.80 and 6,402.41

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Solution

The fourth proportional to 11,707.70, 16,155.80 and 6,402.41 is: 8,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.70 : 16,155.80 = 6,402.41 : x
  2. Step 2: Convert to fraction form
    11,707.70/16,155.80 = 6,402.41/x
  3. Step 3: Cross multiply
    11,707.70x = 16,155.80 × 6,402.41
  4. Step 4: Simplify right side
    11,707.70x = 103,435,974.70
  5. Step 5: Solve for x
    x = 103,435,974.70/11,707.70
  6. Step 6: Final answer
    x = 8,834.87

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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.