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Finding the Fourth Proportional to 8,352.57, 12,529.94 and 2,804.07

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Solution

The fourth proportional to 8,352.57, 12,529.94 and 2,804.07 is: 4,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.57 : 12,529.94 = 2,804.07 : x
  2. Step 2: Convert to fraction form
    8,352.57/12,529.94 = 2,804.07/x
  3. Step 3: Cross multiply
    8,352.57x = 12,529.94 × 2,804.07
  4. Step 4: Simplify right side
    8,352.57x = 35,134,814.84
  5. Step 5: Solve for x
    x = 35,134,814.84/8,352.57
  6. Step 6: Final answer
    x = 4,206.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.