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Finding the Fourth Proportional to 10,840.81, 16,261.22 and 3,049.63

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Solution

The fourth proportional to 10,840.81, 16,261.22 and 3,049.63 is: 4,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.81 : 16,261.22 = 3,049.63 : x
  2. Step 2: Convert to fraction form
    10,840.81/16,261.22 = 3,049.63/x
  3. Step 3: Cross multiply
    10,840.81x = 16,261.22 × 3,049.63
  4. Step 4: Simplify right side
    10,840.81x = 49,590,704.35
  5. Step 5: Solve for x
    x = 49,590,704.35/10,840.81
  6. Step 6: Final answer
    x = 4,574.45

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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.