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Finding the Fourth Proportional to 7,083.50, 10,630.53 and 5,713.25

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Solution

The fourth proportional to 7,083.50, 10,630.53 and 5,713.25 is: 8,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.50 : 10,630.53 = 5,713.25 : x
  2. Step 2: Convert to fraction form
    7,083.50/10,630.53 = 5,713.25/x
  3. Step 3: Cross multiply
    7,083.50x = 10,630.53 × 5,713.25
  4. Step 4: Simplify right side
    7,083.50x = 60,734,822.37
  5. Step 5: Solve for x
    x = 60,734,822.37/7,083.50
  6. Step 6: Final answer
    x = 8,574.13

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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.