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Finding the Fourth Proportional to 10,760.81, 14,851.76 and 6,285.08

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Solution

The fourth proportional to 10,760.81, 14,851.76 and 6,285.08 is: 8,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.81 : 14,851.76 = 6,285.08 : x
  2. Step 2: Convert to fraction form
    10,760.81/14,851.76 = 6,285.08/x
  3. Step 3: Cross multiply
    10,760.81x = 14,851.76 × 6,285.08
  4. Step 4: Simplify right side
    10,760.81x = 93,344,505.44
  5. Step 5: Solve for x
    x = 93,344,505.44/10,760.81
  6. Step 6: Final answer
    x = 8,674.49

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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.