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Finding the Fourth Proportional to 11,477.40, 17,216.10 and 3,158.70

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Solution

The fourth proportional to 11,477.40, 17,216.10 and 3,158.70 is: 4,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.40 : 17,216.10 = 3,158.70 : x
  2. Step 2: Convert to fraction form
    11,477.40/17,216.10 = 3,158.70/x
  3. Step 3: Cross multiply
    11,477.40x = 17,216.10 × 3,158.70
  4. Step 4: Simplify right side
    11,477.40x = 54,380,495.07
  5. Step 5: Solve for x
    x = 54,380,495.07/11,477.40
  6. Step 6: Final answer
    x = 4,738.05

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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.