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Finding the Fourth Proportional to 8,346.86, 12,524.61 and 3,670.16

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Solution

The fourth proportional to 8,346.86, 12,524.61 and 3,670.16 is: 5,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.86 : 12,524.61 = 3,670.16 : x
  2. Step 2: Convert to fraction form
    8,346.86/12,524.61 = 3,670.16/x
  3. Step 3: Cross multiply
    8,346.86x = 12,524.61 × 3,670.16
  4. Step 4: Simplify right side
    8,346.86x = 45,967,241.66
  5. Step 5: Solve for x
    x = 45,967,241.66/8,346.86
  6. Step 6: Final answer
    x = 5,507.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.