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Finding the Fourth Proportional to 11,304.37, 15,600 and 6,268.63

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Solution

The fourth proportional to 11,304.37, 15,600 and 6,268.63 is: 8,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.37 : 15,600 = 6,268.63 : x
  2. Step 2: Convert to fraction form
    11,304.37/15,600 = 6,268.63/x
  3. Step 3: Cross multiply
    11,304.37x = 15,600 × 6,268.63
  4. Step 4: Simplify right side
    11,304.37x = 97,790,628
  5. Step 5: Solve for x
    x = 97,790,628/11,304.37
  6. Step 6: Final answer
    x = 8,650.69

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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.