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Finding the Fourth Proportional to 10,709.94, 14,779.62 and 5,995.11

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Solution

The fourth proportional to 10,709.94, 14,779.62 and 5,995.11 is: 8,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.94 : 14,779.62 = 5,995.11 : x
  2. Step 2: Convert to fraction form
    10,709.94/14,779.62 = 5,995.11/x
  3. Step 3: Cross multiply
    10,709.94x = 14,779.62 × 5,995.11
  4. Step 4: Simplify right side
    10,709.94x = 88,605,447.66
  5. Step 5: Solve for x
    x = 88,605,447.66/10,709.94
  6. Step 6: Final answer
    x = 8,273.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.