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Finding the Fourth Proportional to 10,571.76, 14,589.02 and 5,856.34

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Solution

The fourth proportional to 10,571.76, 14,589.02 and 5,856.34 is: 8,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.76 : 14,589.02 = 5,856.34 : x
  2. Step 2: Convert to fraction form
    10,571.76/14,589.02 = 5,856.34/x
  3. Step 3: Cross multiply
    10,571.76x = 14,589.02 × 5,856.34
  4. Step 4: Simplify right side
    10,571.76x = 85,438,261.39
  5. Step 5: Solve for x
    x = 85,438,261.39/10,571.76
  6. Step 6: Final answer
    x = 8,081.74

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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.