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Finding the Fourth Proportional to 7,648.82, 11,475.02 and 2,383.58

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Solution

The fourth proportional to 7,648.82, 11,475.02 and 2,383.58 is: 3,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.82 : 11,475.02 = 2,383.58 : x
  2. Step 2: Convert to fraction form
    7,648.82/11,475.02 = 2,383.58/x
  3. Step 3: Cross multiply
    7,648.82x = 11,475.02 × 2,383.58
  4. Step 4: Simplify right side
    7,648.82x = 27,351,628.17
  5. Step 5: Solve for x
    x = 27,351,628.17/7,648.82
  6. Step 6: Final answer
    x = 3,575.93

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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.