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Finding the Fourth Proportional to 10,689.57, 16,042.05 and 4,847.04

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Solution

The fourth proportional to 10,689.57, 16,042.05 and 4,847.04 is: 7,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.57 : 16,042.05 = 4,847.04 : x
  2. Step 2: Convert to fraction form
    10,689.57/16,042.05 = 4,847.04/x
  3. Step 3: Cross multiply
    10,689.57x = 16,042.05 × 4,847.04
  4. Step 4: Simplify right side
    10,689.57x = 77,756,458.03
  5. Step 5: Solve for x
    x = 77,756,458.03/10,689.57
  6. Step 6: Final answer
    x = 7,274.05

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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.