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Finding the Fourth Proportional to 10,954.70, 16,432.05 and 8,330.30

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Solution

The fourth proportional to 10,954.70, 16,432.05 and 8,330.30 is: 12,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.70 : 16,432.05 = 8,330.30 : x
  2. Step 2: Convert to fraction form
    10,954.70/16,432.05 = 8,330.30/x
  3. Step 3: Cross multiply
    10,954.70x = 16,432.05 × 8,330.30
  4. Step 4: Simplify right side
    10,954.70x = 136,883,906.12
  5. Step 5: Solve for x
    x = 136,883,906.12/10,954.70
  6. Step 6: Final answer
    x = 12,495.45

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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.