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Finding the Fourth Proportional to 10,382.12, 15,569.94 and 3,455

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Solution

The fourth proportional to 10,382.12, 15,569.94 and 3,455 is: 5,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.12 : 15,569.94 = 3,455 : x
  2. Step 2: Convert to fraction form
    10,382.12/15,569.94 = 3,455/x
  3. Step 3: Cross multiply
    10,382.12x = 15,569.94 × 3,455
  4. Step 4: Simplify right side
    10,382.12x = 53,794,142.70
  5. Step 5: Solve for x
    x = 53,794,142.70/10,382.12
  6. Step 6: Final answer
    x = 5,181.42

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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.