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Finding the Fourth Proportional to 8,402.86, 12,601.29 and 2,779.50

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Solution

The fourth proportional to 8,402.86, 12,601.29 and 2,779.50 is: 4,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.86 : 12,601.29 = 2,779.50 : x
  2. Step 2: Convert to fraction form
    8,402.86/12,601.29 = 2,779.50/x
  3. Step 3: Cross multiply
    8,402.86x = 12,601.29 × 2,779.50
  4. Step 4: Simplify right side
    8,402.86x = 35,025,256.72
  5. Step 5: Solve for x
    x = 35,025,256.72/8,402.86
  6. Step 6: Final answer
    x = 4,168.26

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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.