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Finding the Fourth Proportional to 8,056.93, 12,084.91 and 2,509.50

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Solution

The fourth proportional to 8,056.93, 12,084.91 and 2,509.50 is: 3,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.93 : 12,084.91 = 2,509.50 : x
  2. Step 2: Convert to fraction form
    8,056.93/12,084.91 = 2,509.50/x
  3. Step 3: Cross multiply
    8,056.93x = 12,084.91 × 2,509.50
  4. Step 4: Simplify right side
    8,056.93x = 30,327,081.65
  5. Step 5: Solve for x
    x = 30,327,081.65/8,056.93
  6. Step 6: Final answer
    x = 3,764.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.