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Finding the Fourth Proportional to 11,537.58, 15,923.07 and 6,822.30

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Solution

The fourth proportional to 11,537.58, 15,923.07 and 6,822.30 is: 9,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.58 : 15,923.07 = 6,822.30 : x
  2. Step 2: Convert to fraction form
    11,537.58/15,923.07 = 6,822.30/x
  3. Step 3: Cross multiply
    11,537.58x = 15,923.07 × 6,822.30
  4. Step 4: Simplify right side
    11,537.58x = 108,631,960.46
  5. Step 5: Solve for x
    x = 108,631,960.46/11,537.58
  6. Step 6: Final answer
    x = 9,415.49

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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.