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Finding the Fourth Proportional to 11,639.64, 17,458.65 and 6,693.78

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Solution

The fourth proportional to 11,639.64, 17,458.65 and 6,693.78 is: 10,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.64 : 17,458.65 = 6,693.78 : x
  2. Step 2: Convert to fraction form
    11,639.64/17,458.65 = 6,693.78/x
  3. Step 3: Cross multiply
    11,639.64x = 17,458.65 × 6,693.78
  4. Step 4: Simplify right side
    11,639.64x = 116,864,362.20
  5. Step 5: Solve for x
    x = 116,864,362.20/11,639.64
  6. Step 6: Final answer
    x = 10,040.20

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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.