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Finding the Fourth Proportional to 11,626.84, 16,018.02 and 8,038.36

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Solution

The fourth proportional to 11,626.84, 16,018.02 and 8,038.36 is: 11,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.84 : 16,018.02 = 8,038.36 : x
  2. Step 2: Convert to fraction form
    11,626.84/16,018.02 = 8,038.36/x
  3. Step 3: Cross multiply
    11,626.84x = 16,018.02 × 8,038.36
  4. Step 4: Simplify right side
    11,626.84x = 128,758,611.25
  5. Step 5: Solve for x
    x = 128,758,611.25/11,626.84
  6. Step 6: Final answer
    x = 11,074.26

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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.