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Finding the Fourth Proportional to 10,814.65, 16,224.10 and 4,574.61

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Solution

The fourth proportional to 10,814.65, 16,224.10 and 4,574.61 is: 6,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.65 : 16,224.10 = 4,574.61 : x
  2. Step 2: Convert to fraction form
    10,814.65/16,224.10 = 4,574.61/x
  3. Step 3: Cross multiply
    10,814.65x = 16,224.10 × 4,574.61
  4. Step 4: Simplify right side
    10,814.65x = 74,218,918.66
  5. Step 5: Solve for x
    x = 74,218,918.66/10,814.65
  6. Step 6: Final answer
    x = 6,862.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.