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Finding the Fourth Proportional to 11,742.67, 17,602.16 and 7,363.20

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Solution

The fourth proportional to 11,742.67, 17,602.16 and 7,363.20 is: 11,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.67 : 17,602.16 = 7,363.20 : x
  2. Step 2: Convert to fraction form
    11,742.67/17,602.16 = 7,363.20/x
  3. Step 3: Cross multiply
    11,742.67x = 17,602.16 × 7,363.20
  4. Step 4: Simplify right side
    11,742.67x = 129,608,224.51
  5. Step 5: Solve for x
    x = 129,608,224.51/11,742.67
  6. Step 6: Final answer
    x = 11,037.37

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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.