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Finding the Fourth Proportional to 12,187.75, 16,819.11 and 6,598.75

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Solution

The fourth proportional to 12,187.75, 16,819.11 and 6,598.75 is: 9,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.75 : 16,819.11 = 6,598.75 : x
  2. Step 2: Convert to fraction form
    12,187.75/16,819.11 = 6,598.75/x
  3. Step 3: Cross multiply
    12,187.75x = 16,819.11 × 6,598.75
  4. Step 4: Simplify right side
    12,187.75x = 110,985,102.11
  5. Step 5: Solve for x
    x = 110,985,102.11/12,187.75
  6. Step 6: Final answer
    x = 9,106.28

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