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Finding the Fourth Proportional to 10,280.94, 14,187.62 and 5,804.66

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Solution

The fourth proportional to 10,280.94, 14,187.62 and 5,804.66 is: 8,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.94 : 14,187.62 = 5,804.66 : x
  2. Step 2: Convert to fraction form
    10,280.94/14,187.62 = 5,804.66/x
  3. Step 3: Cross multiply
    10,280.94x = 14,187.62 × 5,804.66
  4. Step 4: Simplify right side
    10,280.94x = 82,354,310.31
  5. Step 5: Solve for x
    x = 82,354,310.31/10,280.94
  6. Step 6: Final answer
    x = 8,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.