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Finding the Fourth Proportional to 10,699.65, 16,053.12 and 5,769.77

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Solution

The fourth proportional to 10,699.65, 16,053.12 and 5,769.77 is: 8,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.65 : 16,053.12 = 5,769.77 : x
  2. Step 2: Convert to fraction form
    10,699.65/16,053.12 = 5,769.77/x
  3. Step 3: Cross multiply
    10,699.65x = 16,053.12 × 5,769.77
  4. Step 4: Simplify right side
    10,699.65x = 92,622,729.92
  5. Step 5: Solve for x
    x = 92,622,729.92/10,699.65
  6. Step 6: Final answer
    x = 8,656.61

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Why These Related Problems?

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