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Finding the Fourth Proportional to 11,136.84, 15,368.16 and 6,100.14

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Solution

The fourth proportional to 11,136.84, 15,368.16 and 6,100.14 is: 8,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.84 : 15,368.16 = 6,100.14 : x
  2. Step 2: Convert to fraction form
    11,136.84/15,368.16 = 6,100.14/x
  3. Step 3: Cross multiply
    11,136.84x = 15,368.16 × 6,100.14
  4. Step 4: Simplify right side
    11,136.84x = 93,747,927.54
  5. Step 5: Solve for x
    x = 93,747,927.54/11,136.84
  6. Step 6: Final answer
    x = 8,417.82

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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.