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Finding the Fourth Proportional to 10,844.69, 14,965.16 and 6,128.06

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Solution

The fourth proportional to 10,844.69, 14,965.16 and 6,128.06 is: 8,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.69 : 14,965.16 = 6,128.06 : x
  2. Step 2: Convert to fraction form
    10,844.69/14,965.16 = 6,128.06/x
  3. Step 3: Cross multiply
    10,844.69x = 14,965.16 × 6,128.06
  4. Step 4: Simplify right side
    10,844.69x = 91,707,292.92
  5. Step 5: Solve for x
    x = 91,707,292.92/10,844.69
  6. Step 6: Final answer
    x = 8,456.43

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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.