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Finding the Fourth Proportional to 7,657.98, 11,487.03 and 2,111.62

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Solution

The fourth proportional to 7,657.98, 11,487.03 and 2,111.62 is: 3,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.98 : 11,487.03 = 2,111.62 : x
  2. Step 2: Convert to fraction form
    7,657.98/11,487.03 = 2,111.62/x
  3. Step 3: Cross multiply
    7,657.98x = 11,487.03 × 2,111.62
  4. Step 4: Simplify right side
    7,657.98x = 24,256,239.07
  5. Step 5: Solve for x
    x = 24,256,239.07/7,657.98
  6. Step 6: Final answer
    x = 3,167.45

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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.