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Finding the Fourth Proportional to 11,683.04, 16,122.94 and 6,378

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Solution

The fourth proportional to 11,683.04, 16,122.94 and 6,378 is: 8,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.04 : 16,122.94 = 6,378 : x
  2. Step 2: Convert to fraction form
    11,683.04/16,122.94 = 6,378/x
  3. Step 3: Cross multiply
    11,683.04x = 16,122.94 × 6,378
  4. Step 4: Simplify right side
    11,683.04x = 102,832,111.32
  5. Step 5: Solve for x
    x = 102,832,111.32/11,683.04
  6. Step 6: Final answer
    x = 8,801.83

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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.