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Finding the Fourth Proportional to 10,894.16, 16,338.36 and 3,103.40

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Solution

The fourth proportional to 10,894.16, 16,338.36 and 3,103.40 is: 4,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.16 : 16,338.36 = 3,103.40 : x
  2. Step 2: Convert to fraction form
    10,894.16/16,338.36 = 3,103.40/x
  3. Step 3: Cross multiply
    10,894.16x = 16,338.36 × 3,103.40
  4. Step 4: Simplify right side
    10,894.16x = 50,704,466.42
  5. Step 5: Solve for x
    x = 50,704,466.42/10,894.16
  6. Step 6: Final answer
    x = 4,654.28

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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.