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Finding the Fourth Proportional to 10,164.69, 15,245.82 and 4,612.14

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Solution

The fourth proportional to 10,164.69, 15,245.82 and 4,612.14 is: 6,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.69 : 15,245.82 = 4,612.14 : x
  2. Step 2: Convert to fraction form
    10,164.69/15,245.82 = 4,612.14/x
  3. Step 3: Cross multiply
    10,164.69x = 15,245.82 × 4,612.14
  4. Step 4: Simplify right side
    10,164.69x = 70,315,856.25
  5. Step 5: Solve for x
    x = 70,315,856.25/10,164.69
  6. Step 6: Final answer
    x = 6,917.66

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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.