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Finding the Fourth Proportional to 10,568.86, 14,586 and 5,853.14

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Solution

The fourth proportional to 10,568.86, 14,586 and 5,853.14 is: 8,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.86 : 14,586 = 5,853.14 : x
  2. Step 2: Convert to fraction form
    10,568.86/14,586 = 5,853.14/x
  3. Step 3: Cross multiply
    10,568.86x = 14,586 × 5,853.14
  4. Step 4: Simplify right side
    10,568.86x = 85,373,827.11
  5. Step 5: Solve for x
    x = 85,373,827.11/10,568.86
  6. Step 6: Final answer
    x = 8,077.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.