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Finding the Fourth Proportional to 11,475.37, 15,835.59 and 6,695.41

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Solution

The fourth proportional to 11,475.37, 15,835.59 and 6,695.41 is: 9,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.37 : 15,835.59 = 6,695.41 : x
  2. Step 2: Convert to fraction form
    11,475.37/15,835.59 = 6,695.41/x
  3. Step 3: Cross multiply
    11,475.37x = 15,835.59 × 6,695.41
  4. Step 4: Simplify right side
    11,475.37x = 106,025,748.33
  5. Step 5: Solve for x
    x = 106,025,748.33/11,475.37
  6. Step 6: Final answer
    x = 9,239.42

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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.