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Finding the Fourth Proportional to 10,572.85, 14,590.53 and 5,857.15

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Solution

The fourth proportional to 10,572.85, 14,590.53 and 5,857.15 is: 8,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.85 : 14,590.53 = 5,857.15 : x
  2. Step 2: Convert to fraction form
    10,572.85/14,590.53 = 5,857.15/x
  3. Step 3: Cross multiply
    10,572.85x = 14,590.53 × 5,857.15
  4. Step 4: Simplify right side
    10,572.85x = 85,458,922.79
  5. Step 5: Solve for x
    x = 85,458,922.79/10,572.85
  6. Step 6: Final answer
    x = 8,082.87

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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.