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Finding the Fourth Proportional to 8,046.51, 12,070.35 and 3,115.74

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Solution

The fourth proportional to 8,046.51, 12,070.35 and 3,115.74 is: 4,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.51 : 12,070.35 = 3,115.74 : x
  2. Step 2: Convert to fraction form
    8,046.51/12,070.35 = 3,115.74/x
  3. Step 3: Cross multiply
    8,046.51x = 12,070.35 × 3,115.74
  4. Step 4: Simplify right side
    8,046.51x = 37,608,072.31
  5. Step 5: Solve for x
    x = 37,608,072.31/8,046.51
  6. Step 6: Final answer
    x = 4,673.84

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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.