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Finding the Fourth Proportional to 11,105.64, 15,326.10 and 7,570.44

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Solution

The fourth proportional to 11,105.64, 15,326.10 and 7,570.44 is: 10,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.64 : 15,326.10 = 7,570.44 : x
  2. Step 2: Convert to fraction form
    11,105.64/15,326.10 = 7,570.44/x
  3. Step 3: Cross multiply
    11,105.64x = 15,326.10 × 7,570.44
  4. Step 4: Simplify right side
    11,105.64x = 116,025,320.48
  5. Step 5: Solve for x
    x = 116,025,320.48/11,105.64
  6. Step 6: Final answer
    x = 10,447.42

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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.