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Finding the Fourth Proportional to 10,292.75, 14,203.91 and 5,816.42

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Solution

The fourth proportional to 10,292.75, 14,203.91 and 5,816.42 is: 8,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.75 : 14,203.91 = 5,816.42 : x
  2. Step 2: Convert to fraction form
    10,292.75/14,203.91 = 5,816.42/x
  3. Step 3: Cross multiply
    10,292.75x = 14,203.91 × 5,816.42
  4. Step 4: Simplify right side
    10,292.75x = 82,615,806.10
  5. Step 5: Solve for x
    x = 82,615,806.10/10,292.75
  6. Step 6: Final answer
    x = 8,026.61

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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.