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Finding the Fourth Proportional to 8,384.42, 11,563.63 and 5,195.50

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Solution

The fourth proportional to 8,384.42, 11,563.63 and 5,195.50 is: 7,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.42 : 11,563.63 = 5,195.50 : x
  2. Step 2: Convert to fraction form
    8,384.42/11,563.63 = 5,195.50/x
  3. Step 3: Cross multiply
    8,384.42x = 11,563.63 × 5,195.50
  4. Step 4: Simplify right side
    8,384.42x = 60,078,823.22
  5. Step 5: Solve for x
    x = 60,078,823.22/8,384.42
  6. Step 6: Final answer
    x = 7,165.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.