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Finding the Fourth Proportional to 10,865.67, 16,294.38 and 4,628.60

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Solution

The fourth proportional to 10,865.67, 16,294.38 and 4,628.60 is: 6,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.67 : 16,294.38 = 4,628.60 : x
  2. Step 2: Convert to fraction form
    10,865.67/16,294.38 = 4,628.60/x
  3. Step 3: Cross multiply
    10,865.67x = 16,294.38 × 4,628.60
  4. Step 4: Simplify right side
    10,865.67x = 75,420,167.27
  5. Step 5: Solve for x
    x = 75,420,167.27/10,865.67
  6. Step 6: Final answer
    x = 6,941.14

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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.