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Finding the Fourth Proportional to 7,085.20, 10,602.60 and 6,170.80

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Solution

The fourth proportional to 7,085.20, 10,602.60 and 6,170.80 is: 9,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.20 : 10,602.60 = 6,170.80 : x
  2. Step 2: Convert to fraction form
    7,085.20/10,602.60 = 6,170.80/x
  3. Step 3: Cross multiply
    7,085.20x = 10,602.60 × 6,170.80
  4. Step 4: Simplify right side
    7,085.20x = 65,426,524.08
  5. Step 5: Solve for x
    x = 65,426,524.08/7,085.20
  6. Step 6: Final answer
    x = 9,234.25

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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.