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Finding the Fourth Proportional to 10,572.74, 14,589.75 and 5,856.68

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Solution

The fourth proportional to 10,572.74, 14,589.75 and 5,856.68 is: 8,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.74 : 14,589.75 = 5,856.68 : x
  2. Step 2: Convert to fraction form
    10,572.74/14,589.75 = 5,856.68/x
  3. Step 3: Cross multiply
    10,572.74x = 14,589.75 × 5,856.68
  4. Step 4: Simplify right side
    10,572.74x = 85,447,497.03
  5. Step 5: Solve for x
    x = 85,447,497.03/10,572.74
  6. Step 6: Final answer
    x = 8,081.87

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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.