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Finding the Fourth Proportional to 7,703.74, 11,555.61 and 3,083.50

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Solution

The fourth proportional to 7,703.74, 11,555.61 and 3,083.50 is: 4,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.74 : 11,555.61 = 3,083.50 : x
  2. Step 2: Convert to fraction form
    7,703.74/11,555.61 = 3,083.50/x
  3. Step 3: Cross multiply
    7,703.74x = 11,555.61 × 3,083.50
  4. Step 4: Simplify right side
    7,703.74x = 35,631,723.44
  5. Step 5: Solve for x
    x = 35,631,723.44/7,703.74
  6. Step 6: Final answer
    x = 4,625.25

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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.