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Finding the Fourth Proportional to 11,735.52, 16,194 and 6,430.08

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Solution

The fourth proportional to 11,735.52, 16,194 and 6,430.08 is: 8,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.52 : 16,194 = 6,430.08 : x
  2. Step 2: Convert to fraction form
    11,735.52/16,194 = 6,430.08/x
  3. Step 3: Cross multiply
    11,735.52x = 16,194 × 6,430.08
  4. Step 4: Simplify right side
    11,735.52x = 104,128,715.52
  5. Step 5: Solve for x
    x = 104,128,715.52/11,735.52
  6. Step 6: Final answer
    x = 8,872.95

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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.