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Finding the Fourth Proportional to 7,234.20, 10,854.90 and 4,116.60

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Solution

The fourth proportional to 7,234.20, 10,854.90 and 4,116.60 is: 6,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.20 : 10,854.90 = 4,116.60 : x
  2. Step 2: Convert to fraction form
    7,234.20/10,854.90 = 4,116.60/x
  3. Step 3: Cross multiply
    7,234.20x = 10,854.90 × 4,116.60
  4. Step 4: Simplify right side
    7,234.20x = 44,685,281.34
  5. Step 5: Solve for x
    x = 44,685,281.34/7,234.20
  6. Step 6: Final answer
    x = 6,176.95

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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.