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Finding the Fourth Proportional to 11,264, 15,544.32 and 6,296

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Solution

The fourth proportional to 11,264, 15,544.32 and 6,296 is: 8,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264 : 15,544.32 = 6,296 : x
  2. Step 2: Convert to fraction form
    11,264/15,544.32 = 6,296/x
  3. Step 3: Cross multiply
    11,264x = 15,544.32 × 6,296
  4. Step 4: Simplify right side
    11,264x = 97,867,038.72
  5. Step 5: Solve for x
    x = 97,867,038.72/11,264
  6. Step 6: Final answer
    x = 8,688.48

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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.