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Finding the Fourth Proportional to 10,779.08, 16,177 and 4,936.02

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Solution

The fourth proportional to 10,779.08, 16,177 and 4,936.02 is: 7,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.08 : 16,177 = 4,936.02 : x
  2. Step 2: Convert to fraction form
    10,779.08/16,177 = 4,936.02/x
  3. Step 3: Cross multiply
    10,779.08x = 16,177 × 4,936.02
  4. Step 4: Simplify right side
    10,779.08x = 79,849,995.54
  5. Step 5: Solve for x
    x = 79,849,995.54/10,779.08
  6. Step 6: Final answer
    x = 7,407.87

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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.