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Finding the Fourth Proportional to 7,648.84, 11,473.02 and 3,263.44

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Solution

The fourth proportional to 7,648.84, 11,473.02 and 3,263.44 is: 4,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.84 : 11,473.02 = 3,263.44 : x
  2. Step 2: Convert to fraction form
    7,648.84/11,473.02 = 3,263.44/x
  3. Step 3: Cross multiply
    7,648.84x = 11,473.02 × 3,263.44
  4. Step 4: Simplify right side
    7,648.84x = 37,441,512.39
  5. Step 5: Solve for x
    x = 37,441,512.39/7,648.84
  6. Step 6: Final answer
    x = 4,895.06

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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.