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Finding the Fourth Proportional to 8,462.90, 11,666.39 and 5,937.36

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Solution

The fourth proportional to 8,462.90, 11,666.39 and 5,937.36 is: 8,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.90 : 11,666.39 = 5,937.36 : x
  2. Step 2: Convert to fraction form
    8,462.90/11,666.39 = 5,937.36/x
  3. Step 3: Cross multiply
    8,462.90x = 11,666.39 × 5,937.36
  4. Step 4: Simplify right side
    8,462.90x = 69,267,527.64
  5. Step 5: Solve for x
    x = 69,267,527.64/8,462.90
  6. Step 6: Final answer
    x = 8,184.85

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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.