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Finding the Fourth Proportional to 8,296.52, 12,437.49 and 3,106.04

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Solution

The fourth proportional to 8,296.52, 12,437.49 and 3,106.04 is: 4,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.52 : 12,437.49 = 3,106.04 : x
  2. Step 2: Convert to fraction form
    8,296.52/12,437.49 = 3,106.04/x
  3. Step 3: Cross multiply
    8,296.52x = 12,437.49 × 3,106.04
  4. Step 4: Simplify right side
    8,296.52x = 38,631,341.44
  5. Step 5: Solve for x
    x = 38,631,341.44/8,296.52
  6. Step 6: Final answer
    x = 4,656.33

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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.