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Finding the Fourth Proportional to 11,296.90, 15,590.30 and 6,820.95

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Solution

The fourth proportional to 11,296.90, 15,590.30 and 6,820.95 is: 9,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.90 : 15,590.30 = 6,820.95 : x
  2. Step 2: Convert to fraction form
    11,296.90/15,590.30 = 6,820.95/x
  3. Step 3: Cross multiply
    11,296.90x = 15,590.30 × 6,820.95
  4. Step 4: Simplify right side
    11,296.90x = 106,340,656.79
  5. Step 5: Solve for x
    x = 106,340,656.79/11,296.90
  6. Step 6: Final answer
    x = 9,413.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.