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Finding the Fourth Proportional to 11,153.78, 15,378.75 and 9,638.63

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Solution

The fourth proportional to 11,153.78, 15,378.75 and 9,638.63 is: 13,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.78 : 15,378.75 = 9,638.63 : x
  2. Step 2: Convert to fraction form
    11,153.78/15,378.75 = 9,638.63/x
  3. Step 3: Cross multiply
    11,153.78x = 15,378.75 × 9,638.63
  4. Step 4: Simplify right side
    11,153.78x = 148,230,004.22
  5. Step 5: Solve for x
    x = 148,230,004.22/11,153.78
  6. Step 6: Final answer
    x = 13,289.67

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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.