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Finding the Fourth Proportional to 11,322.80, 16,984.20 and 7,823.60

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Solution

The fourth proportional to 11,322.80, 16,984.20 and 7,823.60 is: 11,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.80 : 16,984.20 = 7,823.60 : x
  2. Step 2: Convert to fraction form
    11,322.80/16,984.20 = 7,823.60/x
  3. Step 3: Cross multiply
    11,322.80x = 16,984.20 × 7,823.60
  4. Step 4: Simplify right side
    11,322.80x = 132,877,587.12
  5. Step 5: Solve for x
    x = 132,877,587.12/11,322.80
  6. Step 6: Final answer
    x = 11,735.40

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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.