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Finding the Fourth Proportional to 8,648.31, 11,934.84 and 5,111.54

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Solution

The fourth proportional to 8,648.31, 11,934.84 and 5,111.54 is: 7,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.31 : 11,934.84 = 5,111.54 : x
  2. Step 2: Convert to fraction form
    8,648.31/11,934.84 = 5,111.54/x
  3. Step 3: Cross multiply
    8,648.31x = 11,934.84 × 5,111.54
  4. Step 4: Simplify right side
    8,648.31x = 61,005,412.05
  5. Step 5: Solve for x
    x = 61,005,412.05/8,648.31
  6. Step 6: Final answer
    x = 7,054.03

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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.