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Finding the Fourth Proportional to 11,252.88, 15,529.80 and 8,282.32

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Solution

The fourth proportional to 11,252.88, 15,529.80 and 8,282.32 is: 11,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.88 : 15,529.80 = 8,282.32 : x
  2. Step 2: Convert to fraction form
    11,252.88/15,529.80 = 8,282.32/x
  3. Step 3: Cross multiply
    11,252.88x = 15,529.80 × 8,282.32
  4. Step 4: Simplify right side
    11,252.88x = 128,622,773.14
  5. Step 5: Solve for x
    x = 128,622,773.14/11,252.88
  6. Step 6: Final answer
    x = 11,430.21

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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.