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Finding the Fourth Proportional to 11,388.06, 15,714.63 and 6,352.38

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Solution

The fourth proportional to 11,388.06, 15,714.63 and 6,352.38 is: 8,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.06 : 15,714.63 = 6,352.38 : x
  2. Step 2: Convert to fraction form
    11,388.06/15,714.63 = 6,352.38/x
  3. Step 3: Cross multiply
    11,388.06x = 15,714.63 × 6,352.38
  4. Step 4: Simplify right side
    11,388.06x = 99,825,301.32
  5. Step 5: Solve for x
    x = 99,825,301.32/11,388.06
  6. Step 6: Final answer
    x = 8,765.79

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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.