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Finding the Fourth Proportional to 10,361.48, 15,542.32 and 8,294.62

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Solution

The fourth proportional to 10,361.48, 15,542.32 and 8,294.62 is: 12,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.48 : 15,542.32 = 8,294.62 : x
  2. Step 2: Convert to fraction form
    10,361.48/15,542.32 = 8,294.62/x
  3. Step 3: Cross multiply
    10,361.48x = 15,542.32 × 8,294.62
  4. Step 4: Simplify right side
    10,361.48x = 128,917,638.32
  5. Step 5: Solve for x
    x = 128,917,638.32/10,361.48
  6. Step 6: Final answer
    x = 12,442.01

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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.