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Finding the Fourth Proportional to 11,235.88, 16,853.82 and 4,657.60

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Solution

The fourth proportional to 11,235.88, 16,853.82 and 4,657.60 is: 6,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.88 : 16,853.82 = 4,657.60 : x
  2. Step 2: Convert to fraction form
    11,235.88/16,853.82 = 4,657.60/x
  3. Step 3: Cross multiply
    11,235.88x = 16,853.82 × 4,657.60
  4. Step 4: Simplify right side
    11,235.88x = 78,498,352.03
  5. Step 5: Solve for x
    x = 78,498,352.03/11,235.88
  6. Step 6: Final answer
    x = 6,986.40

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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.