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Finding the Fourth Proportional to 10,507.54, 14,500.40 and 5,791.90

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Solution

The fourth proportional to 10,507.54, 14,500.40 and 5,791.90 is: 7,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.54 : 14,500.40 = 5,791.90 : x
  2. Step 2: Convert to fraction form
    10,507.54/14,500.40 = 5,791.90/x
  3. Step 3: Cross multiply
    10,507.54x = 14,500.40 × 5,791.90
  4. Step 4: Simplify right side
    10,507.54x = 83,984,881.24
  5. Step 5: Solve for x
    x = 83,984,881.24/10,507.54
  6. Step 6: Final answer
    x = 7,992.82

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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.