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Finding the Fourth Proportional to 11,548.29, 15,927.57 and 8,362.07

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Solution

The fourth proportional to 11,548.29, 15,927.57 and 8,362.07 is: 11,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.29 : 15,927.57 = 8,362.07 : x
  2. Step 2: Convert to fraction form
    11,548.29/15,927.57 = 8,362.07/x
  3. Step 3: Cross multiply
    11,548.29x = 15,927.57 × 8,362.07
  4. Step 4: Simplify right side
    11,548.29x = 133,187,375.63
  5. Step 5: Solve for x
    x = 133,187,375.63/11,548.29
  6. Step 6: Final answer
    x = 11,533.08

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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.