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Finding the Fourth Proportional to 10,564.97, 14,579.87 and 5,849.42

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Solution

The fourth proportional to 10,564.97, 14,579.87 and 5,849.42 is: 8,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.97 : 14,579.87 = 5,849.42 : x
  2. Step 2: Convert to fraction form
    10,564.97/14,579.87 = 5,849.42/x
  3. Step 3: Cross multiply
    10,564.97x = 14,579.87 × 5,849.42
  4. Step 4: Simplify right side
    10,564.97x = 85,283,681.03
  5. Step 5: Solve for x
    x = 85,283,681.03/10,564.97
  6. Step 6: Final answer
    x = 8,072.31

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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.