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Finding the Fourth Proportional to 8,612.16, 12,918.72 and 2,456

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Solution

The fourth proportional to 8,612.16, 12,918.72 and 2,456 is: 3,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.16 : 12,918.72 = 2,456 : x
  2. Step 2: Convert to fraction form
    8,612.16/12,918.72 = 2,456/x
  3. Step 3: Cross multiply
    8,612.16x = 12,918.72 × 2,456
  4. Step 4: Simplify right side
    8,612.16x = 31,728,376.32
  5. Step 5: Solve for x
    x = 31,728,376.32/8,612.16
  6. Step 6: Final answer
    x = 3,684.14

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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.