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Finding the Fourth Proportional to 7,760.88, 11,629.08 and 4,834.80

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Solution

The fourth proportional to 7,760.88, 11,629.08 and 4,834.80 is: 7,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.88 : 11,629.08 = 4,834.80 : x
  2. Step 2: Convert to fraction form
    7,760.88/11,629.08 = 4,834.80/x
  3. Step 3: Cross multiply
    7,760.88x = 11,629.08 × 4,834.80
  4. Step 4: Simplify right side
    7,760.88x = 56,224,275.98
  5. Step 5: Solve for x
    x = 56,224,275.98/7,760.88
  6. Step 6: Final answer
    x = 7,244.57

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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.