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Finding the Fourth Proportional to 8,106.76, 11,184.76 and 6,399.86

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Solution

The fourth proportional to 8,106.76, 11,184.76 and 6,399.86 is: 8,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.76 : 11,184.76 = 6,399.86 : x
  2. Step 2: Convert to fraction form
    8,106.76/11,184.76 = 6,399.86/x
  3. Step 3: Cross multiply
    8,106.76x = 11,184.76 × 6,399.86
  4. Step 4: Simplify right side
    8,106.76x = 71,580,810.21
  5. Step 5: Solve for x
    x = 71,580,810.21/8,106.76
  6. Step 6: Final answer
    x = 8,829.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.