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Finding the Fourth Proportional to 10,572.52, 14,590.20 and 5,856.88

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Solution

The fourth proportional to 10,572.52, 14,590.20 and 5,856.88 is: 8,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.52 : 14,590.20 = 5,856.88 : x
  2. Step 2: Convert to fraction form
    10,572.52/14,590.20 = 5,856.88/x
  3. Step 3: Cross multiply
    10,572.52x = 14,590.20 × 5,856.88
  4. Step 4: Simplify right side
    10,572.52x = 85,453,050.58
  5. Step 5: Solve for x
    x = 85,453,050.58/10,572.52
  6. Step 6: Final answer
    x = 8,082.56

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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.