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Finding the Fourth Proportional to 8,374.36, 11,546.46 and 7,237.98

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Solution

The fourth proportional to 8,374.36, 11,546.46 and 7,237.98 is: 9,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.36 : 11,546.46 = 7,237.98 : x
  2. Step 2: Convert to fraction form
    8,374.36/11,546.46 = 7,237.98/x
  3. Step 3: Cross multiply
    8,374.36x = 11,546.46 × 7,237.98
  4. Step 4: Simplify right side
    8,374.36x = 83,573,046.55
  5. Step 5: Solve for x
    x = 83,573,046.55/8,374.36
  6. Step 6: Final answer
    x = 9,979.63

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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.