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Finding the Fourth Proportional to 10,864.16, 14,992.54 and 5,896.16

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Solution

The fourth proportional to 10,864.16, 14,992.54 and 5,896.16 is: 8,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.16 : 14,992.54 = 5,896.16 : x
  2. Step 2: Convert to fraction form
    10,864.16/14,992.54 = 5,896.16/x
  3. Step 3: Cross multiply
    10,864.16x = 14,992.54 × 5,896.16
  4. Step 4: Simplify right side
    10,864.16x = 88,398,339.68
  5. Step 5: Solve for x
    x = 88,398,339.68/10,864.16
  6. Step 6: Final answer
    x = 8,136.70

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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.