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Finding the Fourth Proportional to 8,535.98, 12,804.83 and 2,296.65

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Solution

The fourth proportional to 8,535.98, 12,804.83 and 2,296.65 is: 3,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.98 : 12,804.83 = 2,296.65 : x
  2. Step 2: Convert to fraction form
    8,535.98/12,804.83 = 2,296.65/x
  3. Step 3: Cross multiply
    8,535.98x = 12,804.83 × 2,296.65
  4. Step 4: Simplify right side
    8,535.98x = 29,408,256.35
  5. Step 5: Solve for x
    x = 29,408,256.35/8,535.98
  6. Step 6: Final answer
    x = 3,445.21

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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.