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Finding the Fourth Proportional to 11,244.64, 15,514.58 and 7,264.30

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Solution

The fourth proportional to 11,244.64, 15,514.58 and 7,264.30 is: 10,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.64 : 15,514.58 = 7,264.30 : x
  2. Step 2: Convert to fraction form
    11,244.64/15,514.58 = 7,264.30/x
  3. Step 3: Cross multiply
    11,244.64x = 15,514.58 × 7,264.30
  4. Step 4: Simplify right side
    11,244.64x = 112,702,563.49
  5. Step 5: Solve for x
    x = 112,702,563.49/11,244.64
  6. Step 6: Final answer
    x = 10,022.78

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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.