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Finding the Fourth Proportional to 12,002.08, 16,564.08 and 7,286.80

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Solution

The fourth proportional to 12,002.08, 16,564.08 and 7,286.80 is: 10,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.08 : 16,564.08 = 7,286.80 : x
  2. Step 2: Convert to fraction form
    12,002.08/16,564.08 = 7,286.80/x
  3. Step 3: Cross multiply
    12,002.08x = 16,564.08 × 7,286.80
  4. Step 4: Simplify right side
    12,002.08x = 120,699,138.14
  5. Step 5: Solve for x
    x = 120,699,138.14/12,002.08
  6. Step 6: Final answer
    x = 10,056.52

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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.