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Finding the Fourth Proportional to 10,572.80, 14,590.24 and 5,856.96

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Solution

The fourth proportional to 10,572.80, 14,590.24 and 5,856.96 is: 8,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.80 : 14,590.24 = 5,856.96 : x
  2. Step 2: Convert to fraction form
    10,572.80/14,590.24 = 5,856.96/x
  3. Step 3: Cross multiply
    10,572.80x = 14,590.24 × 5,856.96
  4. Step 4: Simplify right side
    10,572.80x = 85,454,452.07
  5. Step 5: Solve for x
    x = 85,454,452.07/10,572.80
  6. Step 6: Final answer
    x = 8,082.48

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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.