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Finding the Fourth Proportional to 10,543.29, 14,549.73 and 5,827.57

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Solution

The fourth proportional to 10,543.29, 14,549.73 and 5,827.57 is: 8,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.29 : 14,549.73 = 5,827.57 : x
  2. Step 2: Convert to fraction form
    10,543.29/14,549.73 = 5,827.57/x
  3. Step 3: Cross multiply
    10,543.29x = 14,549.73 × 5,827.57
  4. Step 4: Simplify right side
    10,543.29x = 84,789,566.39
  5. Step 5: Solve for x
    x = 84,789,566.39/10,543.29
  6. Step 6: Final answer
    x = 8,042.04

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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.