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Finding the Fourth Proportional to 11,735.95, 16,195.20 and 6,430.72

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Solution

The fourth proportional to 11,735.95, 16,195.20 and 6,430.72 is: 8,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.95 : 16,195.20 = 6,430.72 : x
  2. Step 2: Convert to fraction form
    11,735.95/16,195.20 = 6,430.72/x
  3. Step 3: Cross multiply
    11,735.95x = 16,195.20 × 6,430.72
  4. Step 4: Simplify right side
    11,735.95x = 104,146,796.54
  5. Step 5: Solve for x
    x = 104,146,796.54/11,735.95
  6. Step 6: Final answer
    x = 8,874.17

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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.