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Finding the Fourth Proportional to 6,428.80, 8,872.69 and 4,071.16

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Solution

The fourth proportional to 6,428.80, 8,872.69 and 4,071.16 is: 5,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.80 : 8,872.69 = 4,071.16 : x
  2. Step 2: Convert to fraction form
    6,428.80/8,872.69 = 4,071.16/x
  3. Step 3: Cross multiply
    6,428.80x = 8,872.69 × 4,071.16
  4. Step 4: Simplify right side
    6,428.80x = 36,122,096.26
  5. Step 5: Solve for x
    x = 36,122,096.26/6,428.80
  6. Step 6: Final answer
    x = 5,618.80

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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.