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Finding the Fourth Proportional to 11,500.80, 17,240.64 and 3,705.60

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Solution

The fourth proportional to 11,500.80, 17,240.64 and 3,705.60 is: 5,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.80 : 17,240.64 = 3,705.60 : x
  2. Step 2: Convert to fraction form
    11,500.80/17,240.64 = 3,705.60/x
  3. Step 3: Cross multiply
    11,500.80x = 17,240.64 × 3,705.60
  4. Step 4: Simplify right side
    11,500.80x = 63,886,915.58
  5. Step 5: Solve for x
    x = 63,886,915.58/11,500.80
  6. Step 6: Final answer
    x = 5,555.00

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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.