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Finding the Fourth Proportional to 10,308.53, 14,229.20 and 7,333.00

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Solution

The fourth proportional to 10,308.53, 14,229.20 and 7,333.00 is: 10,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.53 : 14,229.20 = 7,333.00 : x
  2. Step 2: Convert to fraction form
    10,308.53/14,229.20 = 7,333.00/x
  3. Step 3: Cross multiply
    10,308.53x = 14,229.20 × 7,333.00
  4. Step 4: Simplify right side
    10,308.53x = 104,342,706.36
  5. Step 5: Solve for x
    x = 104,342,706.36/10,308.53
  6. Step 6: Final answer
    x = 10,121.97

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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.