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Finding the Fourth Proportional to 11,788.02, 16,267.50 and 6,751.89

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Solution

The fourth proportional to 11,788.02, 16,267.50 and 6,751.89 is: 9,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.02 : 16,267.50 = 6,751.89 : x
  2. Step 2: Convert to fraction form
    11,788.02/16,267.50 = 6,751.89/x
  3. Step 3: Cross multiply
    11,788.02x = 16,267.50 × 6,751.89
  4. Step 4: Simplify right side
    11,788.02x = 109,836,370.58
  5. Step 5: Solve for x
    x = 109,836,370.58/11,788.02
  6. Step 6: Final answer
    x = 9,317.63

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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.