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Finding the Fourth Proportional to 10,568.45, 14,585.22 and 5,853.05

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Solution

The fourth proportional to 10,568.45, 14,585.22 and 5,853.05 is: 8,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.45 : 14,585.22 = 5,853.05 : x
  2. Step 2: Convert to fraction form
    10,568.45/14,585.22 = 5,853.05/x
  3. Step 3: Cross multiply
    10,568.45x = 14,585.22 × 5,853.05
  4. Step 4: Simplify right side
    10,568.45x = 85,368,021.92
  5. Step 5: Solve for x
    x = 85,368,021.92/10,568.45
  6. Step 6: Final answer
    x = 8,077.63

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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.