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Finding the Fourth Proportional to 8,070.14, 12,097.56 and 3,684.98

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Solution

The fourth proportional to 8,070.14, 12,097.56 and 3,684.98 is: 5,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.14 : 12,097.56 = 3,684.98 : x
  2. Step 2: Convert to fraction form
    8,070.14/12,097.56 = 3,684.98/x
  3. Step 3: Cross multiply
    8,070.14x = 12,097.56 × 3,684.98
  4. Step 4: Simplify right side
    8,070.14x = 44,579,266.65
  5. Step 5: Solve for x
    x = 44,579,266.65/8,070.14
  6. Step 6: Final answer
    x = 5,523.98

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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.