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Finding the Fourth Proportional to 8,499.34, 11,725.80 and 6,266.50

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Solution

The fourth proportional to 8,499.34, 11,725.80 and 6,266.50 is: 8,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.34 : 11,725.80 = 6,266.50 : x
  2. Step 2: Convert to fraction form
    8,499.34/11,725.80 = 6,266.50/x
  3. Step 3: Cross multiply
    8,499.34x = 11,725.80 × 6,266.50
  4. Step 4: Simplify right side
    8,499.34x = 73,479,725.70
  5. Step 5: Solve for x
    x = 73,479,725.70/8,499.34
  6. Step 6: Final answer
    x = 8,645.34

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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.