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Finding the Fourth Proportional to 10,567.67, 15,854.23 and 3,993.91

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Solution

The fourth proportional to 10,567.67, 15,854.23 and 3,993.91 is: 5,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.67 : 15,854.23 = 3,993.91 : x
  2. Step 2: Convert to fraction form
    10,567.67/15,854.23 = 3,993.91/x
  3. Step 3: Cross multiply
    10,567.67x = 15,854.23 × 3,993.91
  4. Step 4: Simplify right side
    10,567.67x = 63,320,333.10
  5. Step 5: Solve for x
    x = 63,320,333.10/10,567.67
  6. Step 6: Final answer
    x = 5,991.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.