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Finding the Fourth Proportional to 11,735.50, 16,192.47 and 6,956.95

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Solution

The fourth proportional to 11,735.50, 16,192.47 and 6,956.95 is: 9,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.50 : 16,192.47 = 6,956.95 : x
  2. Step 2: Convert to fraction form
    11,735.50/16,192.47 = 6,956.95/x
  3. Step 3: Cross multiply
    11,735.50x = 16,192.47 × 6,956.95
  4. Step 4: Simplify right side
    11,735.50x = 112,650,204.17
  5. Step 5: Solve for x
    x = 112,650,204.17/11,735.50
  6. Step 6: Final answer
    x = 9,599.10

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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.