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Finding the Fourth Proportional to 10,143.30, 13,998.14 and 5,894.31

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Solution

The fourth proportional to 10,143.30, 13,998.14 and 5,894.31 is: 8,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.30 : 13,998.14 = 5,894.31 : x
  2. Step 2: Convert to fraction form
    10,143.30/13,998.14 = 5,894.31/x
  3. Step 3: Cross multiply
    10,143.30x = 13,998.14 × 5,894.31
  4. Step 4: Simplify right side
    10,143.30x = 82,509,376.58
  5. Step 5: Solve for x
    x = 82,509,376.58/10,143.30
  6. Step 6: Final answer
    x = 8,134.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.