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Finding the Fourth Proportional to 12,085.37, 16,669.40 and 8,507.78

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Solution

The fourth proportional to 12,085.37, 16,669.40 and 8,507.78 is: 11,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.37 : 16,669.40 = 8,507.78 : x
  2. Step 2: Convert to fraction form
    12,085.37/16,669.40 = 8,507.78/x
  3. Step 3: Cross multiply
    12,085.37x = 16,669.40 × 8,507.78
  4. Step 4: Simplify right side
    12,085.37x = 141,819,462.05
  5. Step 5: Solve for x
    x = 141,819,462.05/12,085.37
  6. Step 6: Final answer
    x = 11,734.81

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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.