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Finding the Fourth Proportional to 7,096.41, 10,646.24 and 2,165.54

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Solution

The fourth proportional to 7,096.41, 10,646.24 and 2,165.54 is: 3,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.41 : 10,646.24 = 2,165.54 : x
  2. Step 2: Convert to fraction form
    7,096.41/10,646.24 = 2,165.54/x
  3. Step 3: Cross multiply
    7,096.41x = 10,646.24 × 2,165.54
  4. Step 4: Simplify right side
    7,096.41x = 23,054,794.51
  5. Step 5: Solve for x
    x = 23,054,794.51/7,096.41
  6. Step 6: Final answer
    x = 3,248.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.