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Finding the Fourth Proportional to 8,152.96, 12,232.36 and 5,029.33

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Solution

The fourth proportional to 8,152.96, 12,232.36 and 5,029.33 is: 7,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.96 : 12,232.36 = 5,029.33 : x
  2. Step 2: Convert to fraction form
    8,152.96/12,232.36 = 5,029.33/x
  3. Step 3: Cross multiply
    8,152.96x = 12,232.36 × 5,029.33
  4. Step 4: Simplify right side
    8,152.96x = 61,520,571.83
  5. Step 5: Solve for x
    x = 61,520,571.83/8,152.96
  6. Step 6: Final answer
    x = 7,545.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.