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Finding the Fourth Proportional to 11,048.64, 16,538.40 and 5,841.60

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Solution

The fourth proportional to 11,048.64, 16,538.40 and 5,841.60 is: 8,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.64 : 16,538.40 = 5,841.60 : x
  2. Step 2: Convert to fraction form
    11,048.64/16,538.40 = 5,841.60/x
  3. Step 3: Cross multiply
    11,048.64x = 16,538.40 × 5,841.60
  4. Step 4: Simplify right side
    11,048.64x = 96,610,717.44
  5. Step 5: Solve for x
    x = 96,610,717.44/11,048.64
  6. Step 6: Final answer
    x = 8,744.13

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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.