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Finding the Fourth Proportional to 11,024.60, 16,536.92 and 7,848.65

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Solution

The fourth proportional to 11,024.60, 16,536.92 and 7,848.65 is: 11,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.60 : 16,536.92 = 7,848.65 : x
  2. Step 2: Convert to fraction form
    11,024.60/16,536.92 = 7,848.65/x
  3. Step 3: Cross multiply
    11,024.60x = 16,536.92 × 7,848.65
  4. Step 4: Simplify right side
    11,024.60x = 129,792,375.23
  5. Step 5: Solve for x
    x = 129,792,375.23/11,024.60
  6. Step 6: Final answer
    x = 11,772.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.