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Finding the Fourth Proportional to 11,097.96, 15,289.12 and 7,734.66

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Solution

The fourth proportional to 11,097.96, 15,289.12 and 7,734.66 is: 10,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.96 : 15,289.12 = 7,734.66 : x
  2. Step 2: Convert to fraction form
    11,097.96/15,289.12 = 7,734.66/x
  3. Step 3: Cross multiply
    11,097.96x = 15,289.12 × 7,734.66
  4. Step 4: Simplify right side
    11,097.96x = 118,256,144.90
  5. Step 5: Solve for x
    x = 118,256,144.90/11,097.96
  6. Step 6: Final answer
    x = 10,655.67

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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.