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Finding the Fourth Proportional to 11,322.40, 16,984.35 and 3,002.30

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Solution

The fourth proportional to 11,322.40, 16,984.35 and 3,002.30 is: 4,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.40 : 16,984.35 = 3,002.30 : x
  2. Step 2: Convert to fraction form
    11,322.40/16,984.35 = 3,002.30/x
  3. Step 3: Cross multiply
    11,322.40x = 16,984.35 × 3,002.30
  4. Step 4: Simplify right side
    11,322.40x = 50,992,114.01
  5. Step 5: Solve for x
    x = 50,992,114.01/11,322.40
  6. Step 6: Final answer
    x = 4,503.65

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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.