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Finding the Fourth Proportional to 11,276.50, 16,914.81 and 3,068.50

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Solution

The fourth proportional to 11,276.50, 16,914.81 and 3,068.50 is: 4,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.50 : 16,914.81 = 3,068.50 : x
  2. Step 2: Convert to fraction form
    11,276.50/16,914.81 = 3,068.50/x
  3. Step 3: Cross multiply
    11,276.50x = 16,914.81 × 3,068.50
  4. Step 4: Simplify right side
    11,276.50x = 51,903,094.49
  5. Step 5: Solve for x
    x = 51,903,094.49/11,276.50
  6. Step 6: Final answer
    x = 4,602.77

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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.