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Finding the Fourth Proportional to 11,289.95, 16,936.50 and 4,714.64

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Solution

The fourth proportional to 11,289.95, 16,936.50 and 4,714.64 is: 7,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.95 : 16,936.50 = 4,714.64 : x
  2. Step 2: Convert to fraction form
    11,289.95/16,936.50 = 4,714.64/x
  3. Step 3: Cross multiply
    11,289.95x = 16,936.50 × 4,714.64
  4. Step 4: Simplify right side
    11,289.95x = 79,849,500.36
  5. Step 5: Solve for x
    x = 79,849,500.36/11,289.95
  6. Step 6: Final answer
    x = 7,072.62

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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.