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Finding the Fourth Proportional to 10,572.29, 14,589.74 and 5,856.57

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Solution

The fourth proportional to 10,572.29, 14,589.74 and 5,856.57 is: 8,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.29 : 14,589.74 = 5,856.57 : x
  2. Step 2: Convert to fraction form
    10,572.29/14,589.74 = 5,856.57/x
  3. Step 3: Cross multiply
    10,572.29x = 14,589.74 × 5,856.57
  4. Step 4: Simplify right side
    10,572.29x = 85,445,804.31
  5. Step 5: Solve for x
    x = 85,445,804.31/10,572.29
  6. Step 6: Final answer
    x = 8,082.06

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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.