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Finding the Fourth Proportional to 8,462.02, 11,758.12 and 8,370.76

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Solution

The fourth proportional to 8,462.02, 11,758.12 and 8,370.76 is: 11,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.02 : 11,758.12 = 8,370.76 : x
  2. Step 2: Convert to fraction form
    8,462.02/11,758.12 = 8,370.76/x
  3. Step 3: Cross multiply
    8,462.02x = 11,758.12 × 8,370.76
  4. Step 4: Simplify right side
    8,462.02x = 98,424,400.57
  5. Step 5: Solve for x
    x = 98,424,400.57/8,462.02
  6. Step 6: Final answer
    x = 11,631.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.