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Finding the Fourth Proportional to 10,520.46, 14,518.14 and 5,804.73

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Solution

The fourth proportional to 10,520.46, 14,518.14 and 5,804.73 is: 8,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.46 : 14,518.14 = 5,804.73 : x
  2. Step 2: Convert to fraction form
    10,520.46/14,518.14 = 5,804.73/x
  3. Step 3: Cross multiply
    10,520.46x = 14,518.14 × 5,804.73
  4. Step 4: Simplify right side
    10,520.46x = 84,273,882.80
  5. Step 5: Solve for x
    x = 84,273,882.80/10,520.46
  6. Step 6: Final answer
    x = 8,010.48

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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.