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Finding the Fourth Proportional to 11,221.34, 15,482.75 and 7,241.60

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Solution

The fourth proportional to 11,221.34, 15,482.75 and 7,241.60 is: 9,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.34 : 15,482.75 = 7,241.60 : x
  2. Step 2: Convert to fraction form
    11,221.34/15,482.75 = 7,241.60/x
  3. Step 3: Cross multiply
    11,221.34x = 15,482.75 × 7,241.60
  4. Step 4: Simplify right side
    11,221.34x = 112,119,884.90
  5. Step 5: Solve for x
    x = 112,119,884.90/11,221.34
  6. Step 6: Final answer
    x = 9,991.67

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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.