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Finding the Fourth Proportional to 7,826.42, 11,739.63 and 4,077.42

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Solution

The fourth proportional to 7,826.42, 11,739.63 and 4,077.42 is: 6,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.42 : 11,739.63 = 4,077.42 : x
  2. Step 2: Convert to fraction form
    7,826.42/11,739.63 = 4,077.42/x
  3. Step 3: Cross multiply
    7,826.42x = 11,739.63 × 4,077.42
  4. Step 4: Simplify right side
    7,826.42x = 47,867,386.86
  5. Step 5: Solve for x
    x = 47,867,386.86/7,826.42
  6. Step 6: Final answer
    x = 6,116.13

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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.