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Finding the Fourth Proportional to 8,113.86, 12,169.73 and 2,567.77

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Solution

The fourth proportional to 8,113.86, 12,169.73 and 2,567.77 is: 3,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.86 : 12,169.73 = 2,567.77 : x
  2. Step 2: Convert to fraction form
    8,113.86/12,169.73 = 2,567.77/x
  3. Step 3: Cross multiply
    8,113.86x = 12,169.73 × 2,567.77
  4. Step 4: Simplify right side
    8,113.86x = 31,249,043.60
  5. Step 5: Solve for x
    x = 31,249,043.60/8,113.86
  6. Step 6: Final answer
    x = 3,851.32

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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.