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Finding the Fourth Proportional to 8,309.58, 11,461.68 and 6,628.02

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Solution

The fourth proportional to 8,309.58, 11,461.68 and 6,628.02 is: 9,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.58 : 11,461.68 = 6,628.02 : x
  2. Step 2: Convert to fraction form
    8,309.58/11,461.68 = 6,628.02/x
  3. Step 3: Cross multiply
    8,309.58x = 11,461.68 × 6,628.02
  4. Step 4: Simplify right side
    8,309.58x = 75,968,244.27
  5. Step 5: Solve for x
    x = 75,968,244.27/8,309.58
  6. Step 6: Final answer
    x = 9,142.25

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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.