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Finding the Fourth Proportional to 10,807.77, 16,209.15 and 4,141.92

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Solution

The fourth proportional to 10,807.77, 16,209.15 and 4,141.92 is: 6,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.77 : 16,209.15 = 4,141.92 : x
  2. Step 2: Convert to fraction form
    10,807.77/16,209.15 = 4,141.92/x
  3. Step 3: Cross multiply
    10,807.77x = 16,209.15 × 4,141.92
  4. Step 4: Simplify right side
    10,807.77x = 67,137,047.82
  5. Step 5: Solve for x
    x = 67,137,047.82/10,807.77
  6. Step 6: Final answer
    x = 6,211.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.