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Finding the Fourth Proportional to 11,005.65, 15,187.08 and 6,289.83

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Solution

The fourth proportional to 11,005.65, 15,187.08 and 6,289.83 is: 8,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.65 : 15,187.08 = 6,289.83 : x
  2. Step 2: Convert to fraction form
    11,005.65/15,187.08 = 6,289.83/x
  3. Step 3: Cross multiply
    11,005.65x = 15,187.08 × 6,289.83
  4. Step 4: Simplify right side
    11,005.65x = 95,524,151.40
  5. Step 5: Solve for x
    x = 95,524,151.40/11,005.65
  6. Step 6: Final answer
    x = 8,679.56

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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.