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Finding the Fourth Proportional to 11,635, 16,056.18 and 6,919.18

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Solution

The fourth proportional to 11,635, 16,056.18 and 6,919.18 is: 9,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635 : 16,056.18 = 6,919.18 : x
  2. Step 2: Convert to fraction form
    11,635/16,056.18 = 6,919.18/x
  3. Step 3: Cross multiply
    11,635x = 16,056.18 × 6,919.18
  4. Step 4: Simplify right side
    11,635x = 111,095,599.53
  5. Step 5: Solve for x
    x = 111,095,599.53/11,635
  6. Step 6: Final answer
    x = 9,548.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.