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Finding the Fourth Proportional to 8,148.60, 12,222.50 and 2,881.98

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Solution

The fourth proportional to 8,148.60, 12,222.50 and 2,881.98 is: 4,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.60 : 12,222.50 = 2,881.98 : x
  2. Step 2: Convert to fraction form
    8,148.60/12,222.50 = 2,881.98/x
  3. Step 3: Cross multiply
    8,148.60x = 12,222.50 × 2,881.98
  4. Step 4: Simplify right side
    8,148.60x = 35,224,986.14
  5. Step 5: Solve for x
    x = 35,224,986.14/8,148.60
  6. Step 6: Final answer
    x = 4,322.83

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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.