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Finding the Fourth Proportional to 7,707.66, 11,563.46 and 2,161.06

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Solution

The fourth proportional to 7,707.66, 11,563.46 and 2,161.06 is: 3,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 11,563.46 = 2,161.06 : x
  2. Step 2: Convert to fraction form
    7,707.66/11,563.46 = 2,161.06/x
  3. Step 3: Cross multiply
    7,707.66x = 11,563.46 × 2,161.06
  4. Step 4: Simplify right side
    7,707.66x = 24,989,330.87
  5. Step 5: Solve for x
    x = 24,989,330.87/7,707.66
  6. Step 6: Final answer
    x = 3,242.14

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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.