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Finding the Fourth Proportional to 12,136, 16,735.93 and 7,888.21

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Solution

The fourth proportional to 12,136, 16,735.93 and 7,888.21 is: 10,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136 : 16,735.93 = 7,888.21 : x
  2. Step 2: Convert to fraction form
    12,136/16,735.93 = 7,888.21/x
  3. Step 3: Cross multiply
    12,136x = 16,735.93 × 7,888.21
  4. Step 4: Simplify right side
    12,136x = 132,016,530.39
  5. Step 5: Solve for x
    x = 132,016,530.39/12,136
  6. Step 6: Final answer
    x = 10,878.09

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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.