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Finding the Fourth Proportional to 11,174.34, 15,420.60 and 6,458.64

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Solution

The fourth proportional to 11,174.34, 15,420.60 and 6,458.64 is: 8,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.34 : 15,420.60 = 6,458.64 : x
  2. Step 2: Convert to fraction form
    11,174.34/15,420.60 = 6,458.64/x
  3. Step 3: Cross multiply
    11,174.34x = 15,420.60 × 6,458.64
  4. Step 4: Simplify right side
    11,174.34x = 99,596,103.98
  5. Step 5: Solve for x
    x = 99,596,103.98/11,174.34
  6. Step 6: Final answer
    x = 8,912.93

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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.