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Finding the Fourth Proportional to 11,788.37, 16,267.23 and 6,483.17

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Solution

The fourth proportional to 11,788.37, 16,267.23 and 6,483.17 is: 8,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.37 : 16,267.23 = 6,483.17 : x
  2. Step 2: Convert to fraction form
    11,788.37/16,267.23 = 6,483.17/x
  3. Step 3: Cross multiply
    11,788.37x = 16,267.23 × 6,483.17
  4. Step 4: Simplify right side
    11,788.37x = 105,463,258.19
  5. Step 5: Solve for x
    x = 105,463,258.19/11,788.37
  6. Step 6: Final answer
    x = 8,946.38

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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.