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Finding the Fourth Proportional to 7,189.70, 10,778.15 and 6,412.10

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Solution

The fourth proportional to 7,189.70, 10,778.15 and 6,412.10 is: 9,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.70 : 10,778.15 = 6,412.10 : x
  2. Step 2: Convert to fraction form
    7,189.70/10,778.15 = 6,412.10/x
  3. Step 3: Cross multiply
    7,189.70x = 10,778.15 × 6,412.10
  4. Step 4: Simplify right side
    7,189.70x = 69,110,575.62
  5. Step 5: Solve for x
    x = 69,110,575.62/7,189.70
  6. Step 6: Final answer
    x = 9,612.44

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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.