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Finding the Fourth Proportional to 10,280.69, 14,187.80 and 5,804.48

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Solution

The fourth proportional to 10,280.69, 14,187.80 and 5,804.48 is: 8,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.69 : 14,187.80 = 5,804.48 : x
  2. Step 2: Convert to fraction form
    10,280.69/14,187.80 = 5,804.48/x
  3. Step 3: Cross multiply
    10,280.69x = 14,187.80 × 5,804.48
  4. Step 4: Simplify right side
    10,280.69x = 82,352,744.92
  5. Step 5: Solve for x
    x = 82,352,744.92/10,280.69
  6. Step 6: Final answer
    x = 8,010.43

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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.