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Finding the Fourth Proportional to 11,800.80, 16,276.68 and 7,605

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Solution

The fourth proportional to 11,800.80, 16,276.68 and 7,605 is: 10,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.80 : 16,276.68 = 7,605 : x
  2. Step 2: Convert to fraction form
    11,800.80/16,276.68 = 7,605/x
  3. Step 3: Cross multiply
    11,800.80x = 16,276.68 × 7,605
  4. Step 4: Simplify right side
    11,800.80x = 123,784,151.40
  5. Step 5: Solve for x
    x = 123,784,151.40/11,800.80
  6. Step 6: Final answer
    x = 10,489.47

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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.