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Finding the Fourth Proportional to 7,648.79, 11,474.80 and 2,458.31

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Solution

The fourth proportional to 7,648.79, 11,474.80 and 2,458.31 is: 3,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.79 : 11,474.80 = 2,458.31 : x
  2. Step 2: Convert to fraction form
    7,648.79/11,474.80 = 2,458.31/x
  3. Step 3: Cross multiply
    7,648.79x = 11,474.80 × 2,458.31
  4. Step 4: Simplify right side
    7,648.79x = 28,208,552.07
  5. Step 5: Solve for x
    x = 28,208,552.07/7,648.79
  6. Step 6: Final answer
    x = 3,687.98

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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.