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Finding the Fourth Proportional to 8,986.38, 12,400.38 and 5,804.30

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Solution

The fourth proportional to 8,986.38, 12,400.38 and 5,804.30 is: 8,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.38 : 12,400.38 = 5,804.30 : x
  2. Step 2: Convert to fraction form
    8,986.38/12,400.38 = 5,804.30/x
  3. Step 3: Cross multiply
    8,986.38x = 12,400.38 × 5,804.30
  4. Step 4: Simplify right side
    8,986.38x = 71,975,463.63
  5. Step 5: Solve for x
    x = 71,975,463.63/8,986.38
  6. Step 6: Final answer
    x = 8,009.39

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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.