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Finding the Fourth Proportional to 11,922, 17,889.83 and 4,430.76

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Solution

The fourth proportional to 11,922, 17,889.83 and 4,430.76 is: 6,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 17,889.83 = 4,430.76 : x
  2. Step 2: Convert to fraction form
    11,922/17,889.83 = 4,430.76/x
  3. Step 3: Cross multiply
    11,922x = 17,889.83 × 4,430.76
  4. Step 4: Simplify right side
    11,922x = 79,265,543.17
  5. Step 5: Solve for x
    x = 79,265,543.17/11,922
  6. Step 6: Final answer
    x = 6,648.68

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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.