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Finding the Fourth Proportional to 7,083.50, 10,625.31 and 2,466.50

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Solution

The fourth proportional to 7,083.50, 10,625.31 and 2,466.50 is: 3,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.50 : 10,625.31 = 2,466.50 : x
  2. Step 2: Convert to fraction form
    7,083.50/10,625.31 = 2,466.50/x
  3. Step 3: Cross multiply
    7,083.50x = 10,625.31 × 2,466.50
  4. Step 4: Simplify right side
    7,083.50x = 26,207,327.12
  5. Step 5: Solve for x
    x = 26,207,327.12/7,083.50
  6. Step 6: Final answer
    x = 3,699.77

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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.