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Finding the Fourth Proportional to 8,306.94, 12,460.41 and 5,701.98

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Solution

The fourth proportional to 8,306.94, 12,460.41 and 5,701.98 is: 8,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.94 : 12,460.41 = 5,701.98 : x
  2. Step 2: Convert to fraction form
    8,306.94/12,460.41 = 5,701.98/x
  3. Step 3: Cross multiply
    8,306.94x = 12,460.41 × 5,701.98
  4. Step 4: Simplify right side
    8,306.94x = 71,049,008.61
  5. Step 5: Solve for x
    x = 71,049,008.61/8,306.94
  6. Step 6: Final answer
    x = 8,552.97

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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.