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Finding the Fourth Proportional to 7,199.74, 10,832.55 and 4,280.23

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Solution

The fourth proportional to 7,199.74, 10,832.55 and 4,280.23 is: 6,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.74 : 10,832.55 = 4,280.23 : x
  2. Step 2: Convert to fraction form
    7,199.74/10,832.55 = 4,280.23/x
  3. Step 3: Cross multiply
    7,199.74x = 10,832.55 × 4,280.23
  4. Step 4: Simplify right side
    7,199.74x = 46,365,805.49
  5. Step 5: Solve for x
    x = 46,365,805.49/7,199.74
  6. Step 6: Final answer
    x = 6,439.93

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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.