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Finding the Fourth Proportional to 10,337.67, 15,486.18 and 6,816.93

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Solution

The fourth proportional to 10,337.67, 15,486.18 and 6,816.93 is: 10,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.67 : 15,486.18 = 6,816.93 : x
  2. Step 2: Convert to fraction form
    10,337.67/15,486.18 = 6,816.93/x
  3. Step 3: Cross multiply
    10,337.67x = 15,486.18 × 6,816.93
  4. Step 4: Simplify right side
    10,337.67x = 105,568,205.03
  5. Step 5: Solve for x
    x = 105,568,205.03/10,337.67
  6. Step 6: Final answer
    x = 10,211.99

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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.