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Finding the Fourth Proportional to 11,548.88, 15,937.50 and 6,243.74

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Solution

The fourth proportional to 11,548.88, 15,937.50 and 6,243.74 is: 8,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.88 : 15,937.50 = 6,243.74 : x
  2. Step 2: Convert to fraction form
    11,548.88/15,937.50 = 6,243.74/x
  3. Step 3: Cross multiply
    11,548.88x = 15,937.50 × 6,243.74
  4. Step 4: Simplify right side
    11,548.88x = 99,509,606.25
  5. Step 5: Solve for x
    x = 99,509,606.25/11,548.88
  6. Step 6: Final answer
    x = 8,616.39

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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.