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Finding the Fourth Proportional to 10,930.20, 16,397.16 and 3,533.76

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Solution

The fourth proportional to 10,930.20, 16,397.16 and 3,533.76 is: 5,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.20 : 16,397.16 = 3,533.76 : x
  2. Step 2: Convert to fraction form
    10,930.20/16,397.16 = 3,533.76/x
  3. Step 3: Cross multiply
    10,930.20x = 16,397.16 × 3,533.76
  4. Step 4: Simplify right side
    10,930.20x = 57,943,628.12
  5. Step 5: Solve for x
    x = 57,943,628.12/10,930.20
  6. Step 6: Final answer
    x = 5,301.24

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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.