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Finding the Fourth Proportional to 11,286.95, 16,932.00 and 4,711.64

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Solution

The fourth proportional to 11,286.95, 16,932.00 and 4,711.64 is: 7,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.95 : 16,932.00 = 4,711.64 : x
  2. Step 2: Convert to fraction form
    11,286.95/16,932.00 = 4,711.64/x
  3. Step 3: Cross multiply
    11,286.95x = 16,932.00 × 4,711.64
  4. Step 4: Simplify right side
    11,286.95x = 79,777,421.49
  5. Step 5: Solve for x
    x = 79,777,421.49/11,286.95
  6. Step 6: Final answer
    x = 7,068.11

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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.