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Finding the Fourth Proportional to 11,141.40, 16,679.70 and 6,756.60

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Solution

The fourth proportional to 11,141.40, 16,679.70 and 6,756.60 is: 10,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.40 : 16,679.70 = 6,756.60 : x
  2. Step 2: Convert to fraction form
    11,141.40/16,679.70 = 6,756.60/x
  3. Step 3: Cross multiply
    11,141.40x = 16,679.70 × 6,756.60
  4. Step 4: Simplify right side
    11,141.40x = 112,698,061.02
  5. Step 5: Solve for x
    x = 112,698,061.02/11,141.40
  6. Step 6: Final answer
    x = 10,115.25

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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.