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Finding the Fourth Proportional to 8,130.72, 12,194.16 and 3,448.14

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Solution

The fourth proportional to 8,130.72, 12,194.16 and 3,448.14 is: 5,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.72 : 12,194.16 = 3,448.14 : x
  2. Step 2: Convert to fraction form
    8,130.72/12,194.16 = 3,448.14/x
  3. Step 3: Cross multiply
    8,130.72x = 12,194.16 × 3,448.14
  4. Step 4: Simplify right side
    8,130.72x = 42,047,170.86
  5. Step 5: Solve for x
    x = 42,047,170.86/8,130.72
  6. Step 6: Final answer
    x = 5,171.40

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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.