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Finding the Fourth Proportional to 10,760.85, 14,846.76 and 6,513.48

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Solution

The fourth proportional to 10,760.85, 14,846.76 and 6,513.48 is: 8,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.85 : 14,846.76 = 6,513.48 : x
  2. Step 2: Convert to fraction form
    10,760.85/14,846.76 = 6,513.48/x
  3. Step 3: Cross multiply
    10,760.85x = 14,846.76 × 6,513.48
  4. Step 4: Simplify right side
    10,760.85x = 96,704,074.32
  5. Step 5: Solve for x
    x = 96,704,074.32/10,760.85
  6. Step 6: Final answer
    x = 8,986.66

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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.