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Finding the Fourth Proportional to 8,072.64, 12,106.92 and 2,878.52

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Solution

The fourth proportional to 8,072.64, 12,106.92 and 2,878.52 is: 4,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.64 : 12,106.92 = 2,878.52 : x
  2. Step 2: Convert to fraction form
    8,072.64/12,106.92 = 2,878.52/x
  3. Step 3: Cross multiply
    8,072.64x = 12,106.92 × 2,878.52
  4. Step 4: Simplify right side
    8,072.64x = 34,850,011.36
  5. Step 5: Solve for x
    x = 34,850,011.36/8,072.64
  6. Step 6: Final answer
    x = 4,317.05

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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.