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Finding the Fourth Proportional to 7,461.20, 11,197.20 and 4,170.80

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Solution

The fourth proportional to 7,461.20, 11,197.20 and 4,170.80 is: 6,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.20 : 11,197.20 = 4,170.80 : x
  2. Step 2: Convert to fraction form
    7,461.20/11,197.20 = 4,170.80/x
  3. Step 3: Cross multiply
    7,461.20x = 11,197.20 × 4,170.80
  4. Step 4: Simplify right side
    7,461.20x = 46,701,281.76
  5. Step 5: Solve for x
    x = 46,701,281.76/7,461.20
  6. Step 6: Final answer
    x = 6,259.22

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