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Finding the Fourth Proportional to 10,605.77, 15,911.20 and 7,491.83

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Solution

The fourth proportional to 10,605.77, 15,911.20 and 7,491.83 is: 11,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.77 : 15,911.20 = 7,491.83 : x
  2. Step 2: Convert to fraction form
    10,605.77/15,911.20 = 7,491.83/x
  3. Step 3: Cross multiply
    10,605.77x = 15,911.20 × 7,491.83
  4. Step 4: Simplify right side
    10,605.77x = 119,204,005.50
  5. Step 5: Solve for x
    x = 119,204,005.50/10,605.77
  6. Step 6: Final answer
    x = 11,239.55

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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.