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Finding the Fourth Proportional to 10,694.70, 16,032.60 and 4,125.60

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Solution

The fourth proportional to 10,694.70, 16,032.60 and 4,125.60 is: 6,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 16,032.60 = 4,125.60 : x
  2. Step 2: Convert to fraction form
    10,694.70/16,032.60 = 4,125.60/x
  3. Step 3: Cross multiply
    10,694.70x = 16,032.60 × 4,125.60
  4. Step 4: Simplify right side
    10,694.70x = 66,144,094.56
  5. Step 5: Solve for x
    x = 66,144,094.56/10,694.70
  6. Step 6: Final answer
    x = 6,184.75

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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.