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Finding the Fourth Proportional to 8,204.76, 12,306.44 and 2,657.98

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Solution

The fourth proportional to 8,204.76, 12,306.44 and 2,657.98 is: 3,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.76 : 12,306.44 = 2,657.98 : x
  2. Step 2: Convert to fraction form
    8,204.76/12,306.44 = 2,657.98/x
  3. Step 3: Cross multiply
    8,204.76x = 12,306.44 × 2,657.98
  4. Step 4: Simplify right side
    8,204.76x = 32,710,271.39
  5. Step 5: Solve for x
    x = 32,710,271.39/8,204.76
  6. Step 6: Final answer
    x = 3,986.74

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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.