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Finding the Fourth Proportional to 6,376.80, 8,808.16 and 4,902.80

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Solution

The fourth proportional to 6,376.80, 8,808.16 and 4,902.80 is: 6,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.80 : 8,808.16 = 4,902.80 : x
  2. Step 2: Convert to fraction form
    6,376.80/8,808.16 = 4,902.80/x
  3. Step 3: Cross multiply
    6,376.80x = 8,808.16 × 4,902.80
  4. Step 4: Simplify right side
    6,376.80x = 43,184,646.85
  5. Step 5: Solve for x
    x = 43,184,646.85/6,376.80
  6. Step 6: Final answer
    x = 6,772.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.