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Finding the Fourth Proportional to 11,707.13, 16,155.65 and 6,401.84

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Solution

The fourth proportional to 11,707.13, 16,155.65 and 6,401.84 is: 8,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.13 : 16,155.65 = 6,401.84 : x
  2. Step 2: Convert to fraction form
    11,707.13/16,155.65 = 6,401.84/x
  3. Step 3: Cross multiply
    11,707.13x = 16,155.65 × 6,401.84
  4. Step 4: Simplify right side
    11,707.13x = 103,425,821.62
  5. Step 5: Solve for x
    x = 103,425,821.62/11,707.13
  6. Step 6: Final answer
    x = 8,834.43

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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.