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Finding the Fourth Proportional to 10,189.65, 14,050.34 and 6,408.20

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Solution

The fourth proportional to 10,189.65, 14,050.34 and 6,408.20 is: 8,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.65 : 14,050.34 = 6,408.20 : x
  2. Step 2: Convert to fraction form
    10,189.65/14,050.34 = 6,408.20/x
  3. Step 3: Cross multiply
    10,189.65x = 14,050.34 × 6,408.20
  4. Step 4: Simplify right side
    10,189.65x = 90,037,286.50
  5. Step 5: Solve for x
    x = 90,037,286.50/10,189.65
  6. Step 6: Final answer
    x = 8,836.15

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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.