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Finding the Fourth Proportional to 11,673.42, 16,109.44 and 6,368.35

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Solution

The fourth proportional to 11,673.42, 16,109.44 and 6,368.35 is: 8,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.42 : 16,109.44 = 6,368.35 : x
  2. Step 2: Convert to fraction form
    11,673.42/16,109.44 = 6,368.35/x
  3. Step 3: Cross multiply
    11,673.42x = 16,109.44 × 6,368.35
  4. Step 4: Simplify right side
    11,673.42x = 102,590,552.22
  5. Step 5: Solve for x
    x = 102,590,552.22/11,673.42
  6. Step 6: Final answer
    x = 8,788.39

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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.