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Finding the Fourth Proportional to 11,483.76, 17,213.76 and 6,278.52

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Solution

The fourth proportional to 11,483.76, 17,213.76 and 6,278.52 is: 9,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.76 : 17,213.76 = 6,278.52 : x
  2. Step 2: Convert to fraction form
    11,483.76/17,213.76 = 6,278.52/x
  3. Step 3: Cross multiply
    11,483.76x = 17,213.76 × 6,278.52
  4. Step 4: Simplify right side
    11,483.76x = 108,076,936.44
  5. Step 5: Solve for x
    x = 108,076,936.44/11,483.76
  6. Step 6: Final answer
    x = 9,411.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.