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Finding the Fourth Proportional to 10,222.80, 14,103.04 and 5,973.60

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Solution

The fourth proportional to 10,222.80, 14,103.04 and 5,973.60 is: 8,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.80 : 14,103.04 = 5,973.60 : x
  2. Step 2: Convert to fraction form
    10,222.80/14,103.04 = 5,973.60/x
  3. Step 3: Cross multiply
    10,222.80x = 14,103.04 × 5,973.60
  4. Step 4: Simplify right side
    10,222.80x = 84,245,919.74
  5. Step 5: Solve for x
    x = 84,245,919.74/10,222.80
  6. Step 6: Final answer
    x = 8,240.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.