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Finding the Fourth Proportional to 8,032.32, 12,039.84 and 4,131.36

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Solution

The fourth proportional to 8,032.32, 12,039.84 and 4,131.36 is: 6,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.32 : 12,039.84 = 4,131.36 : x
  2. Step 2: Convert to fraction form
    8,032.32/12,039.84 = 4,131.36/x
  3. Step 3: Cross multiply
    8,032.32x = 12,039.84 × 4,131.36
  4. Step 4: Simplify right side
    8,032.32x = 49,740,913.38
  5. Step 5: Solve for x
    x = 49,740,913.38/8,032.32
  6. Step 6: Final answer
    x = 6,192.60

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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.