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Finding the Fourth Proportional to 10,864.72, 14,993.31 and 5,896.72

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Solution

The fourth proportional to 10,864.72, 14,993.31 and 5,896.72 is: 8,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.72 : 14,993.31 = 5,896.72 : x
  2. Step 2: Convert to fraction form
    10,864.72/14,993.31 = 5,896.72/x
  3. Step 3: Cross multiply
    10,864.72x = 14,993.31 × 5,896.72
  4. Step 4: Simplify right side
    10,864.72x = 88,411,350.94
  5. Step 5: Solve for x
    x = 88,411,350.94/10,864.72
  6. Step 6: Final answer
    x = 8,137.47

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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.