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Finding the Fourth Proportional to 10,840.89, 14,942.53 and 7,254.57

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Solution

The fourth proportional to 10,840.89, 14,942.53 and 7,254.57 is: 9,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.89 : 14,942.53 = 7,254.57 : x
  2. Step 2: Convert to fraction form
    10,840.89/14,942.53 = 7,254.57/x
  3. Step 3: Cross multiply
    10,840.89x = 14,942.53 × 7,254.57
  4. Step 4: Simplify right side
    10,840.89x = 108,401,611.73
  5. Step 5: Solve for x
    x = 108,401,611.73/10,840.89
  6. Step 6: Final answer
    x = 9,999.33

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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.