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Finding the Fourth Proportional to 7,756.94, 11,642.12 and 4,061.75

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Solution

The fourth proportional to 7,756.94, 11,642.12 and 4,061.75 is: 6,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.94 : 11,642.12 = 4,061.75 : x
  2. Step 2: Convert to fraction form
    7,756.94/11,642.12 = 4,061.75/x
  3. Step 3: Cross multiply
    7,756.94x = 11,642.12 × 4,061.75
  4. Step 4: Simplify right side
    7,756.94x = 47,287,380.91
  5. Step 5: Solve for x
    x = 47,287,380.91/7,756.94
  6. Step 6: Final answer
    x = 6,096.14

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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.