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Finding the Fourth Proportional to 8,186.82, 11,297.70 and 4,650

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Solution

The fourth proportional to 8,186.82, 11,297.70 and 4,650 is: 6,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.82 : 11,297.70 = 4,650 : x
  2. Step 2: Convert to fraction form
    8,186.82/11,297.70 = 4,650/x
  3. Step 3: Cross multiply
    8,186.82x = 11,297.70 × 4,650
  4. Step 4: Simplify right side
    8,186.82x = 52,534,305
  5. Step 5: Solve for x
    x = 52,534,305/8,186.82
  6. Step 6: Final answer
    x = 6,416.94

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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.