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Finding the Fourth Proportional to 10,317.53, 15,478.70 and 8,217.11

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Solution

The fourth proportional to 10,317.53, 15,478.70 and 8,217.11 is: 12,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.53 : 15,478.70 = 8,217.11 : x
  2. Step 2: Convert to fraction form
    10,317.53/15,478.70 = 8,217.11/x
  3. Step 3: Cross multiply
    10,317.53x = 15,478.70 × 8,217.11
  4. Step 4: Simplify right side
    10,317.53x = 127,190,180.56
  5. Step 5: Solve for x
    x = 127,190,180.56/10,317.53
  6. Step 6: Final answer
    x = 12,327.58

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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.