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Finding the Fourth Proportional to 11,657.76, 17,487.87 and 4,994.94

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Solution

The fourth proportional to 11,657.76, 17,487.87 and 4,994.94 is: 7,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.76 : 17,487.87 = 4,994.94 : x
  2. Step 2: Convert to fraction form
    11,657.76/17,487.87 = 4,994.94/x
  3. Step 3: Cross multiply
    11,657.76x = 17,487.87 × 4,994.94
  4. Step 4: Simplify right side
    11,657.76x = 87,350,861.38
  5. Step 5: Solve for x
    x = 87,350,861.38/11,657.76
  6. Step 6: Final answer
    x = 7,492.94

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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.