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Finding the Fourth Proportional to 11,204, 15,461.52 and 6,236

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Solution

The fourth proportional to 11,204, 15,461.52 and 6,236 is: 8,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204 : 15,461.52 = 6,236 : x
  2. Step 2: Convert to fraction form
    11,204/15,461.52 = 6,236/x
  3. Step 3: Cross multiply
    11,204x = 15,461.52 × 6,236
  4. Step 4: Simplify right side
    11,204x = 96,418,038.72
  5. Step 5: Solve for x
    x = 96,418,038.72/11,204
  6. Step 6: Final answer
    x = 8,605.68

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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.