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Finding the Fourth Proportional to 11,474.89, 15,832.93 and 7,501.84

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Solution

The fourth proportional to 11,474.89, 15,832.93 and 7,501.84 is: 10,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.89 : 15,832.93 = 7,501.84 : x
  2. Step 2: Convert to fraction form
    11,474.89/15,832.93 = 7,501.84/x
  3. Step 3: Cross multiply
    11,474.89x = 15,832.93 × 7,501.84
  4. Step 4: Simplify right side
    11,474.89x = 118,776,107.59
  5. Step 5: Solve for x
    x = 118,776,107.59/11,474.89
  6. Step 6: Final answer
    x = 10,350.96

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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.