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Finding the Fourth Proportional to 6,823.40, 10,245.90 and 4,641.80

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Solution

The fourth proportional to 6,823.40, 10,245.90 and 4,641.80 is: 6,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.40 : 10,245.90 = 4,641.80 : x
  2. Step 2: Convert to fraction form
    6,823.40/10,245.90 = 4,641.80/x
  3. Step 3: Cross multiply
    6,823.40x = 10,245.90 × 4,641.80
  4. Step 4: Simplify right side
    6,823.40x = 47,559,418.62
  5. Step 5: Solve for x
    x = 47,559,418.62/6,823.40
  6. Step 6: Final answer
    x = 6,970.05

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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.