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Finding the Fourth Proportional to 8,130.39, 12,194.22 and 2,285.64

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Solution

The fourth proportional to 8,130.39, 12,194.22 and 2,285.64 is: 3,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.39 : 12,194.22 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    8,130.39/12,194.22 = 2,285.64/x
  3. Step 3: Cross multiply
    8,130.39x = 12,194.22 × 2,285.64
  4. Step 4: Simplify right side
    8,130.39x = 27,871,597.00
  5. Step 5: Solve for x
    x = 27,871,597.00/8,130.39
  6. Step 6: Final answer
    x = 3,428.08

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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.