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Finding the Fourth Proportional to 10,474.08, 14,455.92 and 6,283.20

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Solution

The fourth proportional to 10,474.08, 14,455.92 and 6,283.20 is: 8,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.08 : 14,455.92 = 6,283.20 : x
  2. Step 2: Convert to fraction form
    10,474.08/14,455.92 = 6,283.20/x
  3. Step 3: Cross multiply
    10,474.08x = 14,455.92 × 6,283.20
  4. Step 4: Simplify right side
    10,474.08x = 90,829,436.54
  5. Step 5: Solve for x
    x = 90,829,436.54/10,474.08
  6. Step 6: Final answer
    x = 8,671.83

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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.