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Finding the Fourth Proportional to 8,204.44, 11,334.48 and 5,378.53

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Solution

The fourth proportional to 8,204.44, 11,334.48 and 5,378.53 is: 7,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.44 : 11,334.48 = 5,378.53 : x
  2. Step 2: Convert to fraction form
    8,204.44/11,334.48 = 5,378.53/x
  3. Step 3: Cross multiply
    8,204.44x = 11,334.48 × 5,378.53
  4. Step 4: Simplify right side
    8,204.44x = 60,962,840.71
  5. Step 5: Solve for x
    x = 60,962,840.71/8,204.44
  6. Step 6: Final answer
    x = 7,430.47

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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.