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Finding the Fourth Proportional to 10,543.47, 14,550.74 and 5,827.65

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Solution

The fourth proportional to 10,543.47, 14,550.74 and 5,827.65 is: 8,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.47 : 14,550.74 = 5,827.65 : x
  2. Step 2: Convert to fraction form
    10,543.47/14,550.74 = 5,827.65/x
  3. Step 3: Cross multiply
    10,543.47x = 14,550.74 × 5,827.65
  4. Step 4: Simplify right side
    10,543.47x = 84,796,619.96
  5. Step 5: Solve for x
    x = 84,796,619.96/10,543.47
  6. Step 6: Final answer
    x = 8,042.57

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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.