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Finding the Fourth Proportional to 11,602.50, 16,019.76 and 7,132.20

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Solution

The fourth proportional to 11,602.50, 16,019.76 and 7,132.20 is: 9,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.50 : 16,019.76 = 7,132.20 : x
  2. Step 2: Convert to fraction form
    11,602.50/16,019.76 = 7,132.20/x
  3. Step 3: Cross multiply
    11,602.50x = 16,019.76 × 7,132.20
  4. Step 4: Simplify right side
    11,602.50x = 114,256,132.27
  5. Step 5: Solve for x
    x = 114,256,132.27/11,602.50
  6. Step 6: Final answer
    x = 9,847.54

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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.