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Finding the Fourth Proportional to 11,697.66, 16,140.33 and 7,447.19

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Solution

The fourth proportional to 11,697.66, 16,140.33 and 7,447.19 is: 10,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.66 : 16,140.33 = 7,447.19 : x
  2. Step 2: Convert to fraction form
    11,697.66/16,140.33 = 7,447.19/x
  3. Step 3: Cross multiply
    11,697.66x = 16,140.33 × 7,447.19
  4. Step 4: Simplify right side
    11,697.66x = 120,200,023.47
  5. Step 5: Solve for x
    x = 120,200,023.47/11,697.66
  6. Step 6: Final answer
    x = 10,275.56

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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.