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Finding the Fourth Proportional to 10,946.06, 16,419.06 and 3,926.30

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Solution

The fourth proportional to 10,946.06, 16,419.06 and 3,926.30 is: 5,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.06 : 16,419.06 = 3,926.30 : x
  2. Step 2: Convert to fraction form
    10,946.06/16,419.06 = 3,926.30/x
  3. Step 3: Cross multiply
    10,946.06x = 16,419.06 × 3,926.30
  4. Step 4: Simplify right side
    10,946.06x = 64,466,155.28
  5. Step 5: Solve for x
    x = 64,466,155.28/10,946.06
  6. Step 6: Final answer
    x = 5,889.44

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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.