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Finding the Fourth Proportional to 10,238.52, 14,130.52 and 7,593.48

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Solution

The fourth proportional to 10,238.52, 14,130.52 and 7,593.48 is: 10,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.52 : 14,130.52 = 7,593.48 : x
  2. Step 2: Convert to fraction form
    10,238.52/14,130.52 = 7,593.48/x
  3. Step 3: Cross multiply
    10,238.52x = 14,130.52 × 7,593.48
  4. Step 4: Simplify right side
    10,238.52x = 107,299,821.01
  5. Step 5: Solve for x
    x = 107,299,821.01/10,238.52
  6. Step 6: Final answer
    x = 10,480.01

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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.