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Finding the Fourth Proportional to 10,431.90, 15,653.52 and 3,857.22

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Solution

The fourth proportional to 10,431.90, 15,653.52 and 3,857.22 is: 5,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.90 : 15,653.52 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    10,431.90/15,653.52 = 3,857.22/x
  3. Step 3: Cross multiply
    10,431.90x = 15,653.52 × 3,857.22
  4. Step 4: Simplify right side
    10,431.90x = 60,379,070.41
  5. Step 5: Solve for x
    x = 60,379,070.41/10,431.90
  6. Step 6: Final answer
    x = 5,787.93

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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.