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Finding the Fourth Proportional to 8,643.68, 11,903.18 and 7,508.84

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Solution

The fourth proportional to 8,643.68, 11,903.18 and 7,508.84 is: 10,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.68 : 11,903.18 = 7,508.84 : x
  2. Step 2: Convert to fraction form
    8,643.68/11,903.18 = 7,508.84/x
  3. Step 3: Cross multiply
    8,643.68x = 11,903.18 × 7,508.84
  4. Step 4: Simplify right side
    8,643.68x = 89,379,033.37
  5. Step 5: Solve for x
    x = 89,379,033.37/8,643.68
  6. Step 6: Final answer
    x = 10,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.