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Finding the Fourth Proportional to 11,327.86, 15,636.81 and 7,549.65

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Solution

The fourth proportional to 11,327.86, 15,636.81 and 7,549.65 is: 10,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.86 : 15,636.81 = 7,549.65 : x
  2. Step 2: Convert to fraction form
    11,327.86/15,636.81 = 7,549.65/x
  3. Step 3: Cross multiply
    11,327.86x = 15,636.81 × 7,549.65
  4. Step 4: Simplify right side
    11,327.86x = 118,052,477.56
  5. Step 5: Solve for x
    x = 118,052,477.56/11,327.86
  6. Step 6: Final answer
    x = 10,421.42

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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.