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Finding the Fourth Proportional to 8,666.46, 12,999.60 and 2,743.02

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Solution

The fourth proportional to 8,666.46, 12,999.60 and 2,743.02 is: 4,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.46 : 12,999.60 = 2,743.02 : x
  2. Step 2: Convert to fraction form
    8,666.46/12,999.60 = 2,743.02/x
  3. Step 3: Cross multiply
    8,666.46x = 12,999.60 × 2,743.02
  4. Step 4: Simplify right side
    8,666.46x = 35,658,162.79
  5. Step 5: Solve for x
    x = 35,658,162.79/8,666.46
  6. Step 6: Final answer
    x = 4,114.50

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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.