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Finding the Fourth Proportional to 11,590.80, 17,369.55 and 7,205.70

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Solution

The fourth proportional to 11,590.80, 17,369.55 and 7,205.70 is: 10,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.80 : 17,369.55 = 7,205.70 : x
  2. Step 2: Convert to fraction form
    11,590.80/17,369.55 = 7,205.70/x
  3. Step 3: Cross multiply
    11,590.80x = 17,369.55 × 7,205.70
  4. Step 4: Simplify right side
    11,590.80x = 125,159,766.44
  5. Step 5: Solve for x
    x = 125,159,766.44/11,590.80
  6. Step 6: Final answer
    x = 10,798.20

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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.