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Finding the Fourth Proportional to 10,764.68, 14,852.64 and 6,285.88

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Solution

The fourth proportional to 10,764.68, 14,852.64 and 6,285.88 is: 8,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.68 : 14,852.64 = 6,285.88 : x
  2. Step 2: Convert to fraction form
    10,764.68/14,852.64 = 6,285.88/x
  3. Step 3: Cross multiply
    10,764.68x = 14,852.64 × 6,285.88
  4. Step 4: Simplify right side
    10,764.68x = 93,361,912.72
  5. Step 5: Solve for x
    x = 93,361,912.72/10,764.68
  6. Step 6: Final answer
    x = 8,672.99

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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.