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Finding the Fourth Proportional to 8,566.50, 12,849.75 and 2,723.16

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Solution

The fourth proportional to 8,566.50, 12,849.75 and 2,723.16 is: 4,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.50 : 12,849.75 = 2,723.16 : x
  2. Step 2: Convert to fraction form
    8,566.50/12,849.75 = 2,723.16/x
  3. Step 3: Cross multiply
    8,566.50x = 12,849.75 × 2,723.16
  4. Step 4: Simplify right side
    8,566.50x = 34,991,925.21
  5. Step 5: Solve for x
    x = 34,991,925.21/8,566.50
  6. Step 6: Final answer
    x = 4,084.74

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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.