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Finding the Fourth Proportional to 27,798.08, 41,703.52 and 8,078.28

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Solution

The fourth proportional to 27,798.08, 41,703.52 and 8,078.28 is: 12,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.08 : 41,703.52 = 8,078.28 : x
  2. Step 2: Convert to fraction form
    27,798.08/41,703.52 = 8,078.28/x
  3. Step 3: Cross multiply
    27,798.08x = 41,703.52 × 8,078.28
  4. Step 4: Simplify right side
    27,798.08x = 336,892,711.55
  5. Step 5: Solve for x
    x = 336,892,711.55/27,798.08
  6. Step 6: Final answer
    x = 12,119.28

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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.