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Finding the Fourth Proportional to 7,446.90, 10,280.22 and 5,764.53

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Solution

The fourth proportional to 7,446.90, 10,280.22 and 5,764.53 is: 7,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.90 : 10,280.22 = 5,764.53 : x
  2. Step 2: Convert to fraction form
    7,446.90/10,280.22 = 5,764.53/x
  3. Step 3: Cross multiply
    7,446.90x = 10,280.22 × 5,764.53
  4. Step 4: Simplify right side
    7,446.90x = 59,260,636.60
  5. Step 5: Solve for x
    x = 59,260,636.60/7,446.90
  6. Step 6: Final answer
    x = 7,957.76

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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.