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Finding the Fourth Proportional to 11,202.77, 15,459.39 and 6,166.71

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Solution

The fourth proportional to 11,202.77, 15,459.39 and 6,166.71 is: 8,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.77 : 15,459.39 = 6,166.71 : x
  2. Step 2: Convert to fraction form
    11,202.77/15,459.39 = 6,166.71/x
  3. Step 3: Cross multiply
    11,202.77x = 15,459.39 × 6,166.71
  4. Step 4: Simplify right side
    11,202.77x = 95,333,574.91
  5. Step 5: Solve for x
    x = 95,333,574.91/11,202.77
  6. Step 6: Final answer
    x = 8,509.83

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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.