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Finding the Fourth Proportional to 11,213.51, 15,474.78 and 6,177.93

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Solution

The fourth proportional to 11,213.51, 15,474.78 and 6,177.93 is: 8,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.51 : 15,474.78 = 6,177.93 : x
  2. Step 2: Convert to fraction form
    11,213.51/15,474.78 = 6,177.93/x
  3. Step 3: Cross multiply
    11,213.51x = 15,474.78 × 6,177.93
  4. Step 4: Simplify right side
    11,213.51x = 95,602,107.61
  5. Step 5: Solve for x
    x = 95,602,107.61/11,213.51
  6. Step 6: Final answer
    x = 8,525.62

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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.