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Finding the Fourth Proportional to 10,964.30, 16,453.20 and 4,727.30

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Solution

The fourth proportional to 10,964.30, 16,453.20 and 4,727.30 is: 7,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.30 : 16,453.20 = 4,727.30 : x
  2. Step 2: Convert to fraction form
    10,964.30/16,453.20 = 4,727.30/x
  3. Step 3: Cross multiply
    10,964.30x = 16,453.20 × 4,727.30
  4. Step 4: Simplify right side
    10,964.30x = 77,779,212.36
  5. Step 5: Solve for x
    x = 77,779,212.36/10,964.30
  6. Step 6: Final answer
    x = 7,093.86

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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.