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Finding the Fourth Proportional to 10,286.61, 14,194.89 and 5,810.55

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Solution

The fourth proportional to 10,286.61, 14,194.89 and 5,810.55 is: 8,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.61 : 14,194.89 = 5,810.55 : x
  2. Step 2: Convert to fraction form
    10,286.61/14,194.89 = 5,810.55/x
  3. Step 3: Cross multiply
    10,286.61x = 14,194.89 × 5,810.55
  4. Step 4: Simplify right side
    10,286.61x = 82,480,118.09
  5. Step 5: Solve for x
    x = 82,480,118.09/10,286.61
  6. Step 6: Final answer
    x = 8,018.20

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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.