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Finding the Fourth Proportional to 10,611.64, 14,644.56 and 5,896

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Solution

The fourth proportional to 10,611.64, 14,644.56 and 5,896 is: 8,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.64 : 14,644.56 = 5,896 : x
  2. Step 2: Convert to fraction form
    10,611.64/14,644.56 = 5,896/x
  3. Step 3: Cross multiply
    10,611.64x = 14,644.56 × 5,896
  4. Step 4: Simplify right side
    10,611.64x = 86,344,325.76
  5. Step 5: Solve for x
    x = 86,344,325.76/10,611.64
  6. Step 6: Final answer
    x = 8,136.76

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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.