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Finding the Fourth Proportional to 8,032.33, 12,048.50 and 5,276.44

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Solution

The fourth proportional to 8,032.33, 12,048.50 and 5,276.44 is: 7,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.33 : 12,048.50 = 5,276.44 : x
  2. Step 2: Convert to fraction form
    8,032.33/12,048.50 = 5,276.44/x
  3. Step 3: Cross multiply
    8,032.33x = 12,048.50 × 5,276.44
  4. Step 4: Simplify right side
    8,032.33x = 63,573,187.34
  5. Step 5: Solve for x
    x = 63,573,187.34/8,032.33
  6. Step 6: Final answer
    x = 7,914.66

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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.