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Finding the Fourth Proportional to 8,207.01, 11,297.75 and 6,214.41

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Solution

The fourth proportional to 8,207.01, 11,297.75 and 6,214.41 is: 8,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.01 : 11,297.75 = 6,214.41 : x
  2. Step 2: Convert to fraction form
    8,207.01/11,297.75 = 6,214.41/x
  3. Step 3: Cross multiply
    8,207.01x = 11,297.75 × 6,214.41
  4. Step 4: Simplify right side
    8,207.01x = 70,208,819.51
  5. Step 5: Solve for x
    x = 70,208,819.51/8,207.01
  6. Step 6: Final answer
    x = 8,554.74

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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.