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Finding the Fourth Proportional to 10,299.65, 14,212.94 and 6,050.05

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Solution

The fourth proportional to 10,299.65, 14,212.94 and 6,050.05 is: 8,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.65 : 14,212.94 = 6,050.05 : x
  2. Step 2: Convert to fraction form
    10,299.65/14,212.94 = 6,050.05/x
  3. Step 3: Cross multiply
    10,299.65x = 14,212.94 × 6,050.05
  4. Step 4: Simplify right side
    10,299.65x = 85,988,931.86
  5. Step 5: Solve for x
    x = 85,988,931.86/10,299.65
  6. Step 6: Final answer
    x = 8,348.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.