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Finding the Fourth Proportional to 8,144.95, 12,233.82 and 4,864.45

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Solution

The fourth proportional to 8,144.95, 12,233.82 and 4,864.45 is: 7,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.95 : 12,233.82 = 4,864.45 : x
  2. Step 2: Convert to fraction form
    8,144.95/12,233.82 = 4,864.45/x
  3. Step 3: Cross multiply
    8,144.95x = 12,233.82 × 4,864.45
  4. Step 4: Simplify right side
    8,144.95x = 59,510,805.70
  5. Step 5: Solve for x
    x = 59,510,805.70/8,144.95
  6. Step 6: Final answer
    x = 7,306.47

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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.