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Finding the Fourth Proportional to 10,572.58, 14,590.56 and 5,856.82

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Solution

The fourth proportional to 10,572.58, 14,590.56 and 5,856.82 is: 8,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.58 : 14,590.56 = 5,856.82 : x
  2. Step 2: Convert to fraction form
    10,572.58/14,590.56 = 5,856.82/x
  3. Step 3: Cross multiply
    10,572.58x = 14,590.56 × 5,856.82
  4. Step 4: Simplify right side
    10,572.58x = 85,454,283.62
  5. Step 5: Solve for x
    x = 85,454,283.62/10,572.58
  6. Step 6: Final answer
    x = 8,082.63

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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.