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Finding the Fourth Proportional to 7,111.61, 10,662.84 and 2,954.49

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Solution

The fourth proportional to 7,111.61, 10,662.84 and 2,954.49 is: 4,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.61 : 10,662.84 = 2,954.49 : x
  2. Step 2: Convert to fraction form
    7,111.61/10,662.84 = 2,954.49/x
  3. Step 3: Cross multiply
    7,111.61x = 10,662.84 × 2,954.49
  4. Step 4: Simplify right side
    7,111.61x = 31,503,254.15
  5. Step 5: Solve for x
    x = 31,503,254.15/7,111.61
  6. Step 6: Final answer
    x = 4,429.84

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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.