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Finding the Fourth Proportional to 8,300.58, 11,434.77 and 6,974.34

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Solution

The fourth proportional to 8,300.58, 11,434.77 and 6,974.34 is: 9,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.58 : 11,434.77 = 6,974.34 : x
  2. Step 2: Convert to fraction form
    8,300.58/11,434.77 = 6,974.34/x
  3. Step 3: Cross multiply
    8,300.58x = 11,434.77 × 6,974.34
  4. Step 4: Simplify right side
    8,300.58x = 79,749,973.80
  5. Step 5: Solve for x
    x = 79,749,973.80/8,300.58
  6. Step 6: Final answer
    x = 9,607.76

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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.