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Finding the Fourth Proportional to 7,853.93, 11,779.67 and 5,100.12

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Solution

The fourth proportional to 7,853.93, 11,779.67 and 5,100.12 is: 7,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.93 : 11,779.67 = 5,100.12 : x
  2. Step 2: Convert to fraction form
    7,853.93/11,779.67 = 5,100.12/x
  3. Step 3: Cross multiply
    7,853.93x = 11,779.67 × 5,100.12
  4. Step 4: Simplify right side
    7,853.93x = 60,077,705.06
  5. Step 5: Solve for x
    x = 60,077,705.06/7,853.93
  6. Step 6: Final answer
    x = 7,649.39

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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.