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Finding the Fourth Proportional to 7,648.33, 11,471.02 and 2,383.40

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Solution

The fourth proportional to 7,648.33, 11,471.02 and 2,383.40 is: 3,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.33 : 11,471.02 = 2,383.40 : x
  2. Step 2: Convert to fraction form
    7,648.33/11,471.02 = 2,383.40/x
  3. Step 3: Cross multiply
    7,648.33x = 11,471.02 × 2,383.40
  4. Step 4: Simplify right side
    7,648.33x = 27,340,029.07
  5. Step 5: Solve for x
    x = 27,340,029.07/7,648.33
  6. Step 6: Final answer
    x = 3,574.64

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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.