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Finding the Fourth Proportional to 11,174.67, 15,419.32 and 6,458.04

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Solution

The fourth proportional to 11,174.67, 15,419.32 and 6,458.04 is: 8,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.67 : 15,419.32 = 6,458.04 : x
  2. Step 2: Convert to fraction form
    11,174.67/15,419.32 = 6,458.04/x
  3. Step 3: Cross multiply
    11,174.67x = 15,419.32 × 6,458.04
  4. Step 4: Simplify right side
    11,174.67x = 99,578,585.33
  5. Step 5: Solve for x
    x = 99,578,585.33/11,174.67
  6. Step 6: Final answer
    x = 8,911.10

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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.