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Finding the Fourth Proportional to 11,556.90, 15,946.74 and 6,520.73

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Solution

The fourth proportional to 11,556.90, 15,946.74 and 6,520.73 is: 8,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.90 : 15,946.74 = 6,520.73 : x
  2. Step 2: Convert to fraction form
    11,556.90/15,946.74 = 6,520.73/x
  3. Step 3: Cross multiply
    11,556.90x = 15,946.74 × 6,520.73
  4. Step 4: Simplify right side
    11,556.90x = 103,984,306.19
  5. Step 5: Solve for x
    x = 103,984,306.19/11,556.90
  6. Step 6: Final answer
    x = 8,997.60

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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.