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Finding the Fourth Proportional to 10,930.63, 16,391.84 and 3,533.10

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Solution

The fourth proportional to 10,930.63, 16,391.84 and 3,533.10 is: 5,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.63 : 16,391.84 = 3,533.10 : x
  2. Step 2: Convert to fraction form
    10,930.63/16,391.84 = 3,533.10/x
  3. Step 3: Cross multiply
    10,930.63x = 16,391.84 × 3,533.10
  4. Step 4: Simplify right side
    10,930.63x = 57,914,001.07
  5. Step 5: Solve for x
    x = 57,914,001.07/10,930.63
  6. Step 6: Final answer
    x = 5,298.32

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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.