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Finding the Fourth Proportional to 11,754.36, 16,217.73 and 7,565.04

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Solution

The fourth proportional to 11,754.36, 16,217.73 and 7,565.04 is: 10,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.36 : 16,217.73 = 7,565.04 : x
  2. Step 2: Convert to fraction form
    11,754.36/16,217.73 = 7,565.04/x
  3. Step 3: Cross multiply
    11,754.36x = 16,217.73 × 7,565.04
  4. Step 4: Simplify right side
    11,754.36x = 122,687,776.16
  5. Step 5: Solve for x
    x = 122,687,776.16/11,754.36
  6. Step 6: Final answer
    x = 10,437.64

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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.