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Finding the Fourth Proportional to 10,930.68, 16,396.54 and 3,535.72

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Solution

The fourth proportional to 10,930.68, 16,396.54 and 3,535.72 is: 5,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.68 : 16,396.54 = 3,535.72 : x
  2. Step 2: Convert to fraction form
    10,930.68/16,396.54 = 3,535.72/x
  3. Step 3: Cross multiply
    10,930.68x = 16,396.54 × 3,535.72
  4. Step 4: Simplify right side
    10,930.68x = 57,973,520.16
  5. Step 5: Solve for x
    x = 57,973,520.16/10,930.68
  6. Step 6: Final answer
    x = 5,303.74

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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.