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Finding the Fourth Proportional to 12,790.28, 17,649.32 and 7,484.06

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Solution

The fourth proportional to 12,790.28, 17,649.32 and 7,484.06 is: 10,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.28 : 17,649.32 = 7,484.06 : x
  2. Step 2: Convert to fraction form
    12,790.28/17,649.32 = 7,484.06/x
  3. Step 3: Cross multiply
    12,790.28x = 17,649.32 × 7,484.06
  4. Step 4: Simplify right side
    12,790.28x = 132,088,569.84
  5. Step 5: Solve for x
    x = 132,088,569.84/12,790.28
  6. Step 6: Final answer
    x = 10,327.26

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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.