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Finding the Fourth Proportional to 8,477.92, 12,705.84 and 4,086.40

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Solution

The fourth proportional to 8,477.92, 12,705.84 and 4,086.40 is: 6,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.92 : 12,705.84 = 4,086.40 : x
  2. Step 2: Convert to fraction form
    8,477.92/12,705.84 = 4,086.40/x
  3. Step 3: Cross multiply
    8,477.92x = 12,705.84 × 4,086.40
  4. Step 4: Simplify right side
    8,477.92x = 51,921,144.58
  5. Step 5: Solve for x
    x = 51,921,144.58/8,477.92
  6. Step 6: Final answer
    x = 6,124.28

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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.