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Finding the Fourth Proportional to 8,207.61, 11,322.63 and 5,968.50

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Solution

The fourth proportional to 8,207.61, 11,322.63 and 5,968.50 is: 8,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.61 : 11,322.63 = 5,968.50 : x
  2. Step 2: Convert to fraction form
    8,207.61/11,322.63 = 5,968.50/x
  3. Step 3: Cross multiply
    8,207.61x = 11,322.63 × 5,968.50
  4. Step 4: Simplify right side
    8,207.61x = 67,579,117.16
  5. Step 5: Solve for x
    x = 67,579,117.16/8,207.61
  6. Step 6: Final answer
    x = 8,233.71

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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.