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Finding the Fourth Proportional to 10,289.90, 14,197.82 and 6,704.51

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Solution

The fourth proportional to 10,289.90, 14,197.82 and 6,704.51 is: 9,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.90 : 14,197.82 = 6,704.51 : x
  2. Step 2: Convert to fraction form
    10,289.90/14,197.82 = 6,704.51/x
  3. Step 3: Cross multiply
    10,289.90x = 14,197.82 × 6,704.51
  4. Step 4: Simplify right side
    10,289.90x = 95,189,321.66
  5. Step 5: Solve for x
    x = 95,189,321.66/10,289.90
  6. Step 6: Final answer
    x = 9,250.75

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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.