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Finding the Fourth Proportional to 10,967.14, 16,440.90 and 4,040.02

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Solution

The fourth proportional to 10,967.14, 16,440.90 and 4,040.02 is: 6,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.14 : 16,440.90 = 4,040.02 : x
  2. Step 2: Convert to fraction form
    10,967.14/16,440.90 = 4,040.02/x
  3. Step 3: Cross multiply
    10,967.14x = 16,440.90 × 4,040.02
  4. Step 4: Simplify right side
    10,967.14x = 66,421,564.82
  5. Step 5: Solve for x
    x = 66,421,564.82/10,967.14
  6. Step 6: Final answer
    x = 6,056.42

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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.