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Finding the Fourth Proportional to 10,304.55, 14,220.36 and 5,828.49

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Solution

The fourth proportional to 10,304.55, 14,220.36 and 5,828.49 is: 8,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.55 : 14,220.36 = 5,828.49 : x
  2. Step 2: Convert to fraction form
    10,304.55/14,220.36 = 5,828.49/x
  3. Step 3: Cross multiply
    10,304.55x = 14,220.36 × 5,828.49
  4. Step 4: Simplify right side
    10,304.55x = 82,883,226.06
  5. Step 5: Solve for x
    x = 82,883,226.06/10,304.55
  6. Step 6: Final answer
    x = 8,043.36

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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.