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Finding the Fourth Proportional to 12,790.27, 19,184.19 and 4,468.75

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Solution

The fourth proportional to 12,790.27, 19,184.19 and 4,468.75 is: 6,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.27 : 19,184.19 = 4,468.75 : x
  2. Step 2: Convert to fraction form
    12,790.27/19,184.19 = 4,468.75/x
  3. Step 3: Cross multiply
    12,790.27x = 19,184.19 × 4,468.75
  4. Step 4: Simplify right side
    12,790.27x = 85,729,349.06
  5. Step 5: Solve for x
    x = 85,729,349.06/12,790.27
  6. Step 6: Final answer
    x = 6,702.70

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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.