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Finding the Fourth Proportional to 11,205, 15,462.96 and 6,237

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Solution

The fourth proportional to 11,205, 15,462.96 and 6,237 is: 8,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 15,462.96 = 6,237 : x
  2. Step 2: Convert to fraction form
    11,205/15,462.96 = 6,237/x
  3. Step 3: Cross multiply
    11,205x = 15,462.96 × 6,237
  4. Step 4: Simplify right side
    11,205x = 96,442,481.52
  5. Step 5: Solve for x
    x = 96,442,481.52/11,205
  6. Step 6: Final answer
    x = 8,607.09

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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.