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Finding the Fourth Proportional to 11,232, 15,498.72 and 6,514.56

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Solution

The fourth proportional to 11,232, 15,498.72 and 6,514.56 is: 8,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232 : 15,498.72 = 6,514.56 : x
  2. Step 2: Convert to fraction form
    11,232/15,498.72 = 6,514.56/x
  3. Step 3: Cross multiply
    11,232x = 15,498.72 × 6,514.56
  4. Step 4: Simplify right side
    11,232x = 100,967,341.36
  5. Step 5: Solve for x
    x = 100,967,341.36/11,232
  6. Step 6: Final answer
    x = 8,989.26

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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.