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Finding the Fourth Proportional to 10,605.18, 15,906.54 and 2,814.60

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Solution

The fourth proportional to 10,605.18, 15,906.54 and 2,814.60 is: 4,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.18 : 15,906.54 = 2,814.60 : x
  2. Step 2: Convert to fraction form
    10,605.18/15,906.54 = 2,814.60/x
  3. Step 3: Cross multiply
    10,605.18x = 15,906.54 × 2,814.60
  4. Step 4: Simplify right side
    10,605.18x = 44,770,547.48
  5. Step 5: Solve for x
    x = 44,770,547.48/10,605.18
  6. Step 6: Final answer
    x = 4,221.57

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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.