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Finding the Fourth Proportional to 7,838.52, 10,803.69 and 7,469.43

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Solution

The fourth proportional to 7,838.52, 10,803.69 and 7,469.43 is: 10,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.52 : 10,803.69 = 7,469.43 : x
  2. Step 2: Convert to fraction form
    7,838.52/10,803.69 = 7,469.43/x
  3. Step 3: Cross multiply
    7,838.52x = 10,803.69 × 7,469.43
  4. Step 4: Simplify right side
    7,838.52x = 80,697,406.20
  5. Step 5: Solve for x
    x = 80,697,406.20/7,838.52
  6. Step 6: Final answer
    x = 10,294.98

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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.