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Finding the Fourth Proportional to 7,301.64, 10,076.08 and 4,157.62

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Solution

The fourth proportional to 7,301.64, 10,076.08 and 4,157.62 is: 5,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.64 : 10,076.08 = 4,157.62 : x
  2. Step 2: Convert to fraction form
    7,301.64/10,076.08 = 4,157.62/x
  3. Step 3: Cross multiply
    7,301.64x = 10,076.08 × 4,157.62
  4. Step 4: Simplify right side
    7,301.64x = 41,892,511.73
  5. Step 5: Solve for x
    x = 41,892,511.73/7,301.64
  6. Step 6: Final answer
    x = 5,737.41

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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.