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Finding the Fourth Proportional to 10,573.12, 14,590.17 and 5,857

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Solution

The fourth proportional to 10,573.12, 14,590.17 and 5,857 is: 8,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.12 : 14,590.17 = 5,857 : x
  2. Step 2: Convert to fraction form
    10,573.12/14,590.17 = 5,857/x
  3. Step 3: Cross multiply
    10,573.12x = 14,590.17 × 5,857
  4. Step 4: Simplify right side
    10,573.12x = 85,454,625.69
  5. Step 5: Solve for x
    x = 85,454,625.69/10,573.12
  6. Step 6: Final answer
    x = 8,082.25

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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.