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Finding the Fourth Proportional to 8,728.65, 13,096.34 and 4,051.05

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Solution

The fourth proportional to 8,728.65, 13,096.34 and 4,051.05 is: 6,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.65 : 13,096.34 = 4,051.05 : x
  2. Step 2: Convert to fraction form
    8,728.65/13,096.34 = 4,051.05/x
  3. Step 3: Cross multiply
    8,728.65x = 13,096.34 × 4,051.05
  4. Step 4: Simplify right side
    8,728.65x = 53,053,928.16
  5. Step 5: Solve for x
    x = 53,053,928.16/8,728.65
  6. Step 6: Final answer
    x = 6,078.14

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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.