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Finding the Fourth Proportional to 10,328.52, 14,238.78 and 7,343.24

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Solution

The fourth proportional to 10,328.52, 14,238.78 and 7,343.24 is: 10,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.52 : 14,238.78 = 7,343.24 : x
  2. Step 2: Convert to fraction form
    10,328.52/14,238.78 = 7,343.24/x
  3. Step 3: Cross multiply
    10,328.52x = 14,238.78 × 7,343.24
  4. Step 4: Simplify right side
    10,328.52x = 104,558,778.85
  5. Step 5: Solve for x
    x = 104,558,778.85/10,328.52
  6. Step 6: Final answer
    x = 10,123.31

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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.