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Finding the Fourth Proportional to 12,136.37, 16,742.53 and 7,100.78

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Solution

The fourth proportional to 12,136.37, 16,742.53 and 7,100.78 is: 9,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.37 : 16,742.53 = 7,100.78 : x
  2. Step 2: Convert to fraction form
    12,136.37/16,742.53 = 7,100.78/x
  3. Step 3: Cross multiply
    12,136.37x = 16,742.53 × 7,100.78
  4. Step 4: Simplify right side
    12,136.37x = 118,885,022.17
  5. Step 5: Solve for x
    x = 118,885,022.17/12,136.37
  6. Step 6: Final answer
    x = 9,795.76

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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.