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Finding the Fourth Proportional to 11,004, 15,178.80 and 7,227.60

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Solution

The fourth proportional to 11,004, 15,178.80 and 7,227.60 is: 9,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004 : 15,178.80 = 7,227.60 : x
  2. Step 2: Convert to fraction form
    11,004/15,178.80 = 7,227.60/x
  3. Step 3: Cross multiply
    11,004x = 15,178.80 × 7,227.60
  4. Step 4: Simplify right side
    11,004x = 109,706,294.88
  5. Step 5: Solve for x
    x = 109,706,294.88/11,004
  6. Step 6: Final answer
    x = 9,969.67

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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.