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Finding the Fourth Proportional to 8,078.08, 12,114.72 and 3,460

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Solution

The fourth proportional to 8,078.08, 12,114.72 and 3,460 is: 5,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.08 : 12,114.72 = 3,460 : x
  2. Step 2: Convert to fraction form
    8,078.08/12,114.72 = 3,460/x
  3. Step 3: Cross multiply
    8,078.08x = 12,114.72 × 3,460
  4. Step 4: Simplify right side
    8,078.08x = 41,916,931.20
  5. Step 5: Solve for x
    x = 41,916,931.20/8,078.08
  6. Step 6: Final answer
    x = 5,188.97

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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.