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Finding the Fourth Proportional to 12,310.76, 16,969.02 and 8,330.42

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Solution

The fourth proportional to 12,310.76, 16,969.02 and 8,330.42 is: 11,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.76 : 16,969.02 = 8,330.42 : x
  2. Step 2: Convert to fraction form
    12,310.76/16,969.02 = 8,330.42/x
  3. Step 3: Cross multiply
    12,310.76x = 16,969.02 × 8,330.42
  4. Step 4: Simplify right side
    12,310.76x = 141,359,063.59
  5. Step 5: Solve for x
    x = 141,359,063.59/12,310.76
  6. Step 6: Final answer
    x = 11,482.56

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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.