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Finding the Fourth Proportional to 8,258.72, 11,412.95 and 6,137.33

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Solution

The fourth proportional to 8,258.72, 11,412.95 and 6,137.33 is: 8,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.72 : 11,412.95 = 6,137.33 : x
  2. Step 2: Convert to fraction form
    8,258.72/11,412.95 = 6,137.33/x
  3. Step 3: Cross multiply
    8,258.72x = 11,412.95 × 6,137.33
  4. Step 4: Simplify right side
    8,258.72x = 70,044,952.67
  5. Step 5: Solve for x
    x = 70,044,952.67/8,258.72
  6. Step 6: Final answer
    x = 8,481.34

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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.