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Finding the Fourth Proportional to 7,853.45, 10,838.63 and 4,496.63

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Solution

The fourth proportional to 7,853.45, 10,838.63 and 4,496.63 is: 6,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.45 : 10,838.63 = 4,496.63 : x
  2. Step 2: Convert to fraction form
    7,853.45/10,838.63 = 4,496.63/x
  3. Step 3: Cross multiply
    7,853.45x = 10,838.63 × 4,496.63
  4. Step 4: Simplify right side
    7,853.45x = 48,737,265.87
  5. Step 5: Solve for x
    x = 48,737,265.87/7,853.45
  6. Step 6: Final answer
    x = 6,205.85

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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.