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Finding the Fourth Proportional to 11,529.82, 15,912.06 and 6,815.01

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Solution

The fourth proportional to 11,529.82, 15,912.06 and 6,815.01 is: 9,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.82 : 15,912.06 = 6,815.01 : x
  2. Step 2: Convert to fraction form
    11,529.82/15,912.06 = 6,815.01/x
  3. Step 3: Cross multiply
    11,529.82x = 15,912.06 × 6,815.01
  4. Step 4: Simplify right side
    11,529.82x = 108,440,848.02
  5. Step 5: Solve for x
    x = 108,440,848.02/11,529.82
  6. Step 6: Final answer
    x = 9,405.25

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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.