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Finding the Fourth Proportional to 10,761.78, 14,851.32 and 6,285.72

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Solution

The fourth proportional to 10,761.78, 14,851.32 and 6,285.72 is: 8,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.78 : 14,851.32 = 6,285.72 : x
  2. Step 2: Convert to fraction form
    10,761.78/14,851.32 = 6,285.72/x
  3. Step 3: Cross multiply
    10,761.78x = 14,851.32 × 6,285.72
  4. Step 4: Simplify right side
    10,761.78x = 93,351,239.15
  5. Step 5: Solve for x
    x = 93,351,239.15/10,761.78
  6. Step 6: Final answer
    x = 8,674.33

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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.