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Finding the Fourth Proportional to 11,931.87, 16,458.42 and 7,688.49

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Solution

The fourth proportional to 11,931.87, 16,458.42 and 7,688.49 is: 10,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.87 : 16,458.42 = 7,688.49 : x
  2. Step 2: Convert to fraction form
    11,931.87/16,458.42 = 7,688.49/x
  3. Step 3: Cross multiply
    11,931.87x = 16,458.42 × 7,688.49
  4. Step 4: Simplify right side
    11,931.87x = 126,540,364.70
  5. Step 5: Solve for x
    x = 126,540,364.70/11,931.87
  6. Step 6: Final answer
    x = 10,605.24

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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.