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Finding the Fourth Proportional to 7,776.77, 11,661.19 and 2,845.13

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Solution

The fourth proportional to 7,776.77, 11,661.19 and 2,845.13 is: 4,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.77 : 11,661.19 = 2,845.13 : x
  2. Step 2: Convert to fraction form
    7,776.77/11,661.19 = 2,845.13/x
  3. Step 3: Cross multiply
    7,776.77x = 11,661.19 × 2,845.13
  4. Step 4: Simplify right side
    7,776.77x = 33,177,601.50
  5. Step 5: Solve for x
    x = 33,177,601.50/7,776.77
  6. Step 6: Final answer
    x = 4,266.24

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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.