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Finding the Fourth Proportional to 10,930.40, 16,397.40 and 3,536.72

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Solution

The fourth proportional to 10,930.40, 16,397.40 and 3,536.72 is: 5,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.40 : 16,397.40 = 3,536.72 : x
  2. Step 2: Convert to fraction form
    10,930.40/16,397.40 = 3,536.72/x
  3. Step 3: Cross multiply
    10,930.40x = 16,397.40 × 3,536.72
  4. Step 4: Simplify right side
    10,930.40x = 57,993,012.53
  5. Step 5: Solve for x
    x = 57,993,012.53/10,930.40
  6. Step 6: Final answer
    x = 5,305.66

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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.