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Finding the Fourth Proportional to 7,235.80, 10,824.90 and 6,272.60

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Solution

The fourth proportional to 7,235.80, 10,824.90 and 6,272.60 is: 9,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.80 : 10,824.90 = 6,272.60 : x
  2. Step 2: Convert to fraction form
    7,235.80/10,824.90 = 6,272.60/x
  3. Step 3: Cross multiply
    7,235.80x = 10,824.90 × 6,272.60
  4. Step 4: Simplify right side
    7,235.80x = 67,900,267.74
  5. Step 5: Solve for x
    x = 67,900,267.74/7,235.80
  6. Step 6: Final answer
    x = 9,383.93

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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.