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Finding the Fourth Proportional to 11,698.86, 17,560.44 and 7,830.30

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Solution

The fourth proportional to 11,698.86, 17,560.44 and 7,830.30 is: 11,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.86 : 17,560.44 = 7,830.30 : x
  2. Step 2: Convert to fraction form
    11,698.86/17,560.44 = 7,830.30/x
  3. Step 3: Cross multiply
    11,698.86x = 17,560.44 × 7,830.30
  4. Step 4: Simplify right side
    11,698.86x = 137,503,513.33
  5. Step 5: Solve for x
    x = 137,503,513.33/11,698.86
  6. Step 6: Final answer
    x = 11,753.58

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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.