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Finding the Fourth Proportional to 10,723.88, 16,092.30 and 4,567.88

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Solution

The fourth proportional to 10,723.88, 16,092.30 and 4,567.88 is: 6,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.88 : 16,092.30 = 4,567.88 : x
  2. Step 2: Convert to fraction form
    10,723.88/16,092.30 = 4,567.88/x
  3. Step 3: Cross multiply
    10,723.88x = 16,092.30 × 4,567.88
  4. Step 4: Simplify right side
    10,723.88x = 73,507,614.86
  5. Step 5: Solve for x
    x = 73,507,614.86/10,723.88
  6. Step 6: Final answer
    x = 6,854.58

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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.