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Finding the Fourth Proportional to 12,585.04, 18,879.83 and 5,185.38

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Solution

The fourth proportional to 12,585.04, 18,879.83 and 5,185.38 is: 7,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.04 : 18,879.83 = 5,185.38 : x
  2. Step 2: Convert to fraction form
    12,585.04/18,879.83 = 5,185.38/x
  3. Step 3: Cross multiply
    12,585.04x = 18,879.83 × 5,185.38
  4. Step 4: Simplify right side
    12,585.04x = 97,899,105.85
  5. Step 5: Solve for x
    x = 97,899,105.85/12,585.04
  6. Step 6: Final answer
    x = 7,779.01

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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.