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Finding the Fourth Proportional to 10,249.64, 14,146.02 and 7,593.32

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Solution

The fourth proportional to 10,249.64, 14,146.02 and 7,593.32 is: 10,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.64 : 14,146.02 = 7,593.32 : x
  2. Step 2: Convert to fraction form
    10,249.64/14,146.02 = 7,593.32/x
  3. Step 3: Cross multiply
    10,249.64x = 14,146.02 × 7,593.32
  4. Step 4: Simplify right side
    10,249.64x = 107,415,256.59
  5. Step 5: Solve for x
    x = 107,415,256.59/10,249.64
  6. Step 6: Final answer
    x = 10,479.91

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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.