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Finding the Fourth Proportional to 10,572.51, 14,590.22 and 5,856.83

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Solution

The fourth proportional to 10,572.51, 14,590.22 and 5,856.83 is: 8,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.51 : 14,590.22 = 5,856.83 : x
  2. Step 2: Convert to fraction form
    10,572.51/14,590.22 = 5,856.83/x
  3. Step 3: Cross multiply
    10,572.51x = 14,590.22 × 5,856.83
  4. Step 4: Simplify right side
    10,572.51x = 85,452,438.20
  5. Step 5: Solve for x
    x = 85,452,438.20/10,572.51
  6. Step 6: Final answer
    x = 8,082.51

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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.