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Finding the Fourth Proportional to 10,833.48, 16,233.16 and 8,374.32

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Solution

The fourth proportional to 10,833.48, 16,233.16 and 8,374.32 is: 12,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.48 : 16,233.16 = 8,374.32 : x
  2. Step 2: Convert to fraction form
    10,833.48/16,233.16 = 8,374.32/x
  3. Step 3: Cross multiply
    10,833.48x = 16,233.16 × 8,374.32
  4. Step 4: Simplify right side
    10,833.48x = 135,941,676.45
  5. Step 5: Solve for x
    x = 135,941,676.45/10,833.48
  6. Step 6: Final answer
    x = 12,548.29

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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.