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Finding the Fourth Proportional to 7,776.53, 11,669.25 and 2,845.52

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Solution

The fourth proportional to 7,776.53, 11,669.25 and 2,845.52 is: 4,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.53 : 11,669.25 = 2,845.52 : x
  2. Step 2: Convert to fraction form
    7,776.53/11,669.25 = 2,845.52/x
  3. Step 3: Cross multiply
    7,776.53x = 11,669.25 × 2,845.52
  4. Step 4: Simplify right side
    7,776.53x = 33,205,084.26
  5. Step 5: Solve for x
    x = 33,205,084.26/7,776.53
  6. Step 6: Final answer
    x = 4,269.91

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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.