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Finding the Fourth Proportional to 8,425.80, 11,774.25 and 8,425.80

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Solution

The fourth proportional to 8,425.80, 11,774.25 and 8,425.80 is: 11,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.80 : 11,774.25 = 8,425.80 : x
  2. Step 2: Convert to fraction form
    8,425.80/11,774.25 = 8,425.80/x
  3. Step 3: Cross multiply
    8,425.80x = 11,774.25 × 8,425.80
  4. Step 4: Simplify right side
    8,425.80x = 99,207,475.65
  5. Step 5: Solve for x
    x = 99,207,475.65/8,425.80
  6. Step 6: Final answer
    x = 11,774.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.