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Finding the Fourth Proportional to 11,905.65, 17,886.02 and 7,477.11

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Solution

The fourth proportional to 11,905.65, 17,886.02 and 7,477.11 is: 11,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.65 : 17,886.02 = 7,477.11 : x
  2. Step 2: Convert to fraction form
    11,905.65/17,886.02 = 7,477.11/x
  3. Step 3: Cross multiply
    11,905.65x = 17,886.02 × 7,477.11
  4. Step 4: Simplify right side
    11,905.65x = 133,735,701.62
  5. Step 5: Solve for x
    x = 133,735,701.62/11,905.65
  6. Step 6: Final answer
    x = 11,232.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.