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Finding the Fourth Proportional to 7,624.98, 11,435.31 and 2,428.02

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Solution

The fourth proportional to 7,624.98, 11,435.31 and 2,428.02 is: 3,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.98 : 11,435.31 = 2,428.02 : x
  2. Step 2: Convert to fraction form
    7,624.98/11,435.31 = 2,428.02/x
  3. Step 3: Cross multiply
    7,624.98x = 11,435.31 × 2,428.02
  4. Step 4: Simplify right side
    7,624.98x = 27,765,161.39
  5. Step 5: Solve for x
    x = 27,765,161.39/7,624.98
  6. Step 6: Final answer
    x = 3,641.34

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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.