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Finding the Fourth Proportional to 10,754.57, 14,846.01 and 6,276.62

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Solution

The fourth proportional to 10,754.57, 14,846.01 and 6,276.62 is: 8,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.57 : 14,846.01 = 6,276.62 : x
  2. Step 2: Convert to fraction form
    10,754.57/14,846.01 = 6,276.62/x
  3. Step 3: Cross multiply
    10,754.57x = 14,846.01 × 6,276.62
  4. Step 4: Simplify right side
    10,754.57x = 93,182,763.29
  5. Step 5: Solve for x
    x = 93,182,763.29/10,754.57
  6. Step 6: Final answer
    x = 8,664.48

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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.