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Finding the Fourth Proportional to 11,425.85, 15,766.23 and 6,647.09

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Solution

The fourth proportional to 11,425.85, 15,766.23 and 6,647.09 is: 9,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.85 : 15,766.23 = 6,647.09 : x
  2. Step 2: Convert to fraction form
    11,425.85/15,766.23 = 6,647.09/x
  3. Step 3: Cross multiply
    11,425.85x = 15,766.23 × 6,647.09
  4. Step 4: Simplify right side
    11,425.85x = 104,799,549.77
  5. Step 5: Solve for x
    x = 104,799,549.77/11,425.85
  6. Step 6: Final answer
    x = 9,172.14

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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.