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Finding the Fourth Proportional to 10,520.69, 14,518.55 and 5,804.97

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Solution

The fourth proportional to 10,520.69, 14,518.55 and 5,804.97 is: 8,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.69 : 14,518.55 = 5,804.97 : x
  2. Step 2: Convert to fraction form
    10,520.69/14,518.55 = 5,804.97/x
  3. Step 3: Cross multiply
    10,520.69x = 14,518.55 × 5,804.97
  4. Step 4: Simplify right side
    10,520.69x = 84,279,747.19
  5. Step 5: Solve for x
    x = 84,279,747.19/10,520.69
  6. Step 6: Final answer
    x = 8,010.86

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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.