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Finding the Fourth Proportional to 7,607.61, 11,422.89 and 6,206.31

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Solution

The fourth proportional to 7,607.61, 11,422.89 and 6,206.31 is: 9,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.61 : 11,422.89 = 6,206.31 : x
  2. Step 2: Convert to fraction form
    7,607.61/11,422.89 = 6,206.31/x
  3. Step 3: Cross multiply
    7,607.61x = 11,422.89 × 6,206.31
  4. Step 4: Simplify right side
    7,607.61x = 70,893,996.44
  5. Step 5: Solve for x
    x = 70,893,996.44/7,607.61
  6. Step 6: Final answer
    x = 9,318.83

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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.