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Finding the Fourth Proportional to 7,083.75, 10,625.50 and 2,466.63

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Solution

The fourth proportional to 7,083.75, 10,625.50 and 2,466.63 is: 3,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.75 : 10,625.50 = 2,466.63 : x
  2. Step 2: Convert to fraction form
    7,083.75/10,625.50 = 2,466.63/x
  3. Step 3: Cross multiply
    7,083.75x = 10,625.50 × 2,466.63
  4. Step 4: Simplify right side
    7,083.75x = 26,209,117.77
  5. Step 5: Solve for x
    x = 26,209,117.77/7,083.75
  6. Step 6: Final answer
    x = 3,699.90

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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.