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Finding the Fourth Proportional to 10,713.69, 16,076.00 and 4,869.54

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Solution

The fourth proportional to 10,713.69, 16,076.00 and 4,869.54 is: 7,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.69 : 16,076.00 = 4,869.54 : x
  2. Step 2: Convert to fraction form
    10,713.69/16,076.00 = 4,869.54/x
  3. Step 3: Cross multiply
    10,713.69x = 16,076.00 × 4,869.54
  4. Step 4: Simplify right side
    10,713.69x = 78,282,737.21
  5. Step 5: Solve for x
    x = 78,282,737.21/10,713.69
  6. Step 6: Final answer
    x = 7,306.80

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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.