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Finding the Fourth Proportional to 7,584.44, 10,465.88 and 4,227

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Solution

The fourth proportional to 7,584.44, 10,465.88 and 4,227 is: 5,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.44 : 10,465.88 = 4,227 : x
  2. Step 2: Convert to fraction form
    7,584.44/10,465.88 = 4,227/x
  3. Step 3: Cross multiply
    7,584.44x = 10,465.88 × 4,227
  4. Step 4: Simplify right side
    7,584.44x = 44,239,274.76
  5. Step 5: Solve for x
    x = 44,239,274.76/7,584.44
  6. Step 6: Final answer
    x = 5,832.90

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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.