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Finding the Fourth Proportional to 8,474.72, 12,710.64 and 3,856.64

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Solution

The fourth proportional to 8,474.72, 12,710.64 and 3,856.64 is: 5,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.72 : 12,710.64 = 3,856.64 : x
  2. Step 2: Convert to fraction form
    8,474.72/12,710.64 = 3,856.64/x
  3. Step 3: Cross multiply
    8,474.72x = 12,710.64 × 3,856.64
  4. Step 4: Simplify right side
    8,474.72x = 49,020,362.65
  5. Step 5: Solve for x
    x = 49,020,362.65/8,474.72
  6. Step 6: Final answer
    x = 5,784.30

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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.