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Finding the Fourth Proportional to 10,476.12, 14,457.78 and 5,760.44

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Solution

The fourth proportional to 10,476.12, 14,457.78 and 5,760.44 is: 7,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.12 : 14,457.78 = 5,760.44 : x
  2. Step 2: Convert to fraction form
    10,476.12/14,457.78 = 5,760.44/x
  3. Step 3: Cross multiply
    10,476.12x = 14,457.78 × 5,760.44
  4. Step 4: Simplify right side
    10,476.12x = 83,283,174.22
  5. Step 5: Solve for x
    x = 83,283,174.22/10,476.12
  6. Step 6: Final answer
    x = 7,949.81

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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.