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Finding the Fourth Proportional to 11,745.35, 16,208.24 and 6,709.46

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Solution

The fourth proportional to 11,745.35, 16,208.24 and 6,709.46 is: 9,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.35 : 16,208.24 = 6,709.46 : x
  2. Step 2: Convert to fraction form
    11,745.35/16,208.24 = 6,709.46/x
  3. Step 3: Cross multiply
    11,745.35x = 16,208.24 × 6,709.46
  4. Step 4: Simplify right side
    11,745.35x = 108,748,595.24
  5. Step 5: Solve for x
    x = 108,748,595.24/11,745.35
  6. Step 6: Final answer
    x = 9,258.87

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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.