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Finding the Fourth Proportional to 10,507.65, 14,500.49 and 5,791.92

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Solution

The fourth proportional to 10,507.65, 14,500.49 and 5,791.92 is: 7,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.65 : 14,500.49 = 5,791.92 : x
  2. Step 2: Convert to fraction form
    10,507.65/14,500.49 = 5,791.92/x
  3. Step 3: Cross multiply
    10,507.65x = 14,500.49 × 5,791.92
  4. Step 4: Simplify right side
    10,507.65x = 83,985,649.08
  5. Step 5: Solve for x
    x = 83,985,649.08/10,507.65
  6. Step 6: Final answer
    x = 7,992.81

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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.