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Finding the Fourth Proportional to 10,954.36, 16,429.72 and 3,057.40

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Solution

The fourth proportional to 10,954.36, 16,429.72 and 3,057.40 is: 4,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.36 : 16,429.72 = 3,057.40 : x
  2. Step 2: Convert to fraction form
    10,954.36/16,429.72 = 3,057.40/x
  3. Step 3: Cross multiply
    10,954.36x = 16,429.72 × 3,057.40
  4. Step 4: Simplify right side
    10,954.36x = 50,232,225.93
  5. Step 5: Solve for x
    x = 50,232,225.93/10,954.36
  6. Step 6: Final answer
    x = 4,585.59

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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.