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Finding the Fourth Proportional to 8,239.49, 11,370.51 and 4,462.66

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Solution

The fourth proportional to 8,239.49, 11,370.51 and 4,462.66 is: 6,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.49 : 11,370.51 = 4,462.66 : x
  2. Step 2: Convert to fraction form
    8,239.49/11,370.51 = 4,462.66/x
  3. Step 3: Cross multiply
    8,239.49x = 11,370.51 × 4,462.66
  4. Step 4: Simplify right side
    8,239.49x = 50,742,717.63
  5. Step 5: Solve for x
    x = 50,742,717.63/8,239.49
  6. Step 6: Final answer
    x = 6,158.48

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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.