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Finding the Fourth Proportional to 10,703.34, 16,056.50 and 3,306.83

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Solution

The fourth proportional to 10,703.34, 16,056.50 and 3,306.83 is: 4,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.34 : 16,056.50 = 3,306.83 : x
  2. Step 2: Convert to fraction form
    10,703.34/16,056.50 = 3,306.83/x
  3. Step 3: Cross multiply
    10,703.34x = 16,056.50 × 3,306.83
  4. Step 4: Simplify right side
    10,703.34x = 53,096,019.08
  5. Step 5: Solve for x
    x = 53,096,019.08/10,703.34
  6. Step 6: Final answer
    x = 4,960.70

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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.