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Finding the Fourth Proportional to 6,693.12, 10,039.64 and 5,233.50

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Solution

The fourth proportional to 6,693.12, 10,039.64 and 5,233.50 is: 7,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.12 : 10,039.64 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    6,693.12/10,039.64 = 5,233.50/x
  3. Step 3: Cross multiply
    6,693.12x = 10,039.64 × 5,233.50
  4. Step 4: Simplify right side
    6,693.12x = 52,542,429.77
  5. Step 5: Solve for x
    x = 52,542,429.77/6,693.12
  6. Step 6: Final answer
    x = 7,850.21

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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.