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Finding the Fourth Proportional to 10,304.81, 14,220.64 and 5,828.47

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Solution

The fourth proportional to 10,304.81, 14,220.64 and 5,828.47 is: 8,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.81 : 14,220.64 = 5,828.47 : x
  2. Step 2: Convert to fraction form
    10,304.81/14,220.64 = 5,828.47/x
  3. Step 3: Cross multiply
    10,304.81x = 14,220.64 × 5,828.47
  4. Step 4: Simplify right side
    10,304.81x = 82,884,550.82
  5. Step 5: Solve for x
    x = 82,884,550.82/10,304.81
  6. Step 6: Final answer
    x = 8,043.29

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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.