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Finding the Fourth Proportional to 7,665.47, 11,499.32 and 2,734.67

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Solution

The fourth proportional to 7,665.47, 11,499.32 and 2,734.67 is: 4,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.47 : 11,499.32 = 2,734.67 : x
  2. Step 2: Convert to fraction form
    7,665.47/11,499.32 = 2,734.67/x
  3. Step 3: Cross multiply
    7,665.47x = 11,499.32 × 2,734.67
  4. Step 4: Simplify right side
    7,665.47x = 31,446,831.75
  5. Step 5: Solve for x
    x = 31,446,831.75/7,665.47
  6. Step 6: Final answer
    x = 4,102.40

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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.