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Finding the Fourth Proportional to 7,200.24, 10,793.88 and 2,580

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Solution

The fourth proportional to 7,200.24, 10,793.88 and 2,580 is: 3,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.24 : 10,793.88 = 2,580 : x
  2. Step 2: Convert to fraction form
    7,200.24/10,793.88 = 2,580/x
  3. Step 3: Cross multiply
    7,200.24x = 10,793.88 × 2,580
  4. Step 4: Simplify right side
    7,200.24x = 27,848,210.40
  5. Step 5: Solve for x
    x = 27,848,210.40/7,200.24
  6. Step 6: Final answer
    x = 3,867.68

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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.