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Finding the Fourth Proportional to 11,540.41, 15,927.14 and 6,505.58

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Solution

The fourth proportional to 11,540.41, 15,927.14 and 6,505.58 is: 8,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.41 : 15,927.14 = 6,505.58 : x
  2. Step 2: Convert to fraction form
    11,540.41/15,927.14 = 6,505.58/x
  3. Step 3: Cross multiply
    11,540.41x = 15,927.14 × 6,505.58
  4. Step 4: Simplify right side
    11,540.41x = 103,615,339.52
  5. Step 5: Solve for x
    x = 103,615,339.52/11,540.41
  6. Step 6: Final answer
    x = 8,978.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.