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Finding the Fourth Proportional to 11,355.87, 17,020.02 and 6,077.91

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Solution

The fourth proportional to 11,355.87, 17,020.02 and 6,077.91 is: 9,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.87 : 17,020.02 = 6,077.91 : x
  2. Step 2: Convert to fraction form
    11,355.87/17,020.02 = 6,077.91/x
  3. Step 3: Cross multiply
    11,355.87x = 17,020.02 × 6,077.91
  4. Step 4: Simplify right side
    11,355.87x = 103,446,149.76
  5. Step 5: Solve for x
    x = 103,446,149.76/11,355.87
  6. Step 6: Final answer
    x = 9,109.49

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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.