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Finding the Fourth Proportional to 10,543.37, 14,550.23 and 5,827.65

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Solution

The fourth proportional to 10,543.37, 14,550.23 and 5,827.65 is: 8,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.37 : 14,550.23 = 5,827.65 : x
  2. Step 2: Convert to fraction form
    10,543.37/14,550.23 = 5,827.65/x
  3. Step 3: Cross multiply
    10,543.37x = 14,550.23 × 5,827.65
  4. Step 4: Simplify right side
    10,543.37x = 84,793,607.87
  5. Step 5: Solve for x
    x = 84,793,607.87/10,543.37
  6. Step 6: Final answer
    x = 8,042.37

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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.