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Finding the Fourth Proportional to 7,563.72, 10,434.60 and 5,043.42

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Solution

The fourth proportional to 7,563.72, 10,434.60 and 5,043.42 is: 6,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.72 : 10,434.60 = 5,043.42 : x
  2. Step 2: Convert to fraction form
    7,563.72/10,434.60 = 5,043.42/x
  3. Step 3: Cross multiply
    7,563.72x = 10,434.60 × 5,043.42
  4. Step 4: Simplify right side
    7,563.72x = 52,626,070.33
  5. Step 5: Solve for x
    x = 52,626,070.33/7,563.72
  6. Step 6: Final answer
    x = 6,957.70

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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.