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Finding the Fourth Proportional to 11,820.90, 16,319.50 and 7,847.44

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Solution

The fourth proportional to 11,820.90, 16,319.50 and 7,847.44 is: 10,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.90 : 16,319.50 = 7,847.44 : x
  2. Step 2: Convert to fraction form
    11,820.90/16,319.50 = 7,847.44/x
  3. Step 3: Cross multiply
    11,820.90x = 16,319.50 × 7,847.44
  4. Step 4: Simplify right side
    11,820.90x = 128,066,277.46
  5. Step 5: Solve for x
    x = 128,066,277.46/11,820.90
  6. Step 6: Final answer
    x = 10,833.89

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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.