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Finding the Fourth Proportional to 35,884, 53,834.64 and 11,260

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Solution

The fourth proportional to 35,884, 53,834.64 and 11,260 is: 16,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,884 : 53,834.64 = 11,260 : x
  2. Step 2: Convert to fraction form
    35,884/53,834.64 = 11,260/x
  3. Step 3: Cross multiply
    35,884x = 53,834.64 × 11,260
  4. Step 4: Simplify right side
    35,884x = 606,178,046.40
  5. Step 5: Solve for x
    x = 606,178,046.40/35,884
  6. Step 6: Final answer
    x = 16,892.71

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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.