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Finding the Fourth Proportional to 10,579.44, 14,599.44 and 5,864.16

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Solution

The fourth proportional to 10,579.44, 14,599.44 and 5,864.16 is: 8,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.44 : 14,599.44 = 5,864.16 : x
  2. Step 2: Convert to fraction form
    10,579.44/14,599.44 = 5,864.16/x
  3. Step 3: Cross multiply
    10,579.44x = 14,599.44 × 5,864.16
  4. Step 4: Simplify right side
    10,579.44x = 85,613,452.07
  5. Step 5: Solve for x
    x = 85,613,452.07/10,579.44
  6. Step 6: Final answer
    x = 8,092.44

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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.