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Finding the Fourth Proportional to 10,993.60, 16,492.74 and 3,201.76

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Solution

The fourth proportional to 10,993.60, 16,492.74 and 3,201.76 is: 4,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.60 : 16,492.74 = 3,201.76 : x
  2. Step 2: Convert to fraction form
    10,993.60/16,492.74 = 3,201.76/x
  3. Step 3: Cross multiply
    10,993.60x = 16,492.74 × 3,201.76
  4. Step 4: Simplify right side
    10,993.60x = 52,805,795.22
  5. Step 5: Solve for x
    x = 52,805,795.22/10,993.60
  6. Step 6: Final answer
    x = 4,803.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.