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Finding the Fourth Proportional to 10,230.66, 14,116.55 and 5,754.06

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Solution

The fourth proportional to 10,230.66, 14,116.55 and 5,754.06 is: 7,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.66 : 14,116.55 = 5,754.06 : x
  2. Step 2: Convert to fraction form
    10,230.66/14,116.55 = 5,754.06/x
  3. Step 3: Cross multiply
    10,230.66x = 14,116.55 × 5,754.06
  4. Step 4: Simplify right side
    10,230.66x = 81,227,446.92
  5. Step 5: Solve for x
    x = 81,227,446.92/10,230.66
  6. Step 6: Final answer
    x = 7,939.61

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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.