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Finding the Fourth Proportional to 8,462.29, 12,700.73 and 4,083.43

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Solution

The fourth proportional to 8,462.29, 12,700.73 and 4,083.43 is: 6,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.29 : 12,700.73 = 4,083.43 : x
  2. Step 2: Convert to fraction form
    8,462.29/12,700.73 = 4,083.43/x
  3. Step 3: Cross multiply
    8,462.29x = 12,700.73 × 4,083.43
  4. Step 4: Simplify right side
    8,462.29x = 51,862,545.02
  5. Step 5: Solve for x
    x = 51,862,545.02/8,462.29
  6. Step 6: Final answer
    x = 6,128.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.