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Finding the Fourth Proportional to 10,751.57, 14,836.46 and 6,274.64

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Solution

The fourth proportional to 10,751.57, 14,836.46 and 6,274.64 is: 8,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.57 : 14,836.46 = 6,274.64 : x
  2. Step 2: Convert to fraction form
    10,751.57/14,836.46 = 6,274.64/x
  3. Step 3: Cross multiply
    10,751.57x = 14,836.46 × 6,274.64
  4. Step 4: Simplify right side
    10,751.57x = 93,093,339.82
  5. Step 5: Solve for x
    x = 93,093,339.82/10,751.57
  6. Step 6: Final answer
    x = 8,658.59

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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.