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Finding the Fourth Proportional to 11,388.16, 15,706.56 and 7,850.56

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Solution

The fourth proportional to 11,388.16, 15,706.56 and 7,850.56 is: 10,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.16 : 15,706.56 = 7,850.56 : x
  2. Step 2: Convert to fraction form
    11,388.16/15,706.56 = 7,850.56/x
  3. Step 3: Cross multiply
    11,388.16x = 15,706.56 × 7,850.56
  4. Step 4: Simplify right side
    11,388.16x = 123,305,291.67
  5. Step 5: Solve for x
    x = 123,305,291.67/11,388.16
  6. Step 6: Final answer
    x = 10,827.50

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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.