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Finding the Fourth Proportional to 8,822.40, 13,233.60 and 5,323.20

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Solution

The fourth proportional to 8,822.40, 13,233.60 and 5,323.20 is: 7,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.40 : 13,233.60 = 5,323.20 : x
  2. Step 2: Convert to fraction form
    8,822.40/13,233.60 = 5,323.20/x
  3. Step 3: Cross multiply
    8,822.40x = 13,233.60 × 5,323.20
  4. Step 4: Simplify right side
    8,822.40x = 70,445,099.52
  5. Step 5: Solve for x
    x = 70,445,099.52/8,822.40
  6. Step 6: Final answer
    x = 7,984.80

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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.