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Finding the Fourth Proportional to 10,543.54, 14,549.21 and 5,827.82

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Solution

The fourth proportional to 10,543.54, 14,549.21 and 5,827.82 is: 8,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.54 : 14,549.21 = 5,827.82 : x
  2. Step 2: Convert to fraction form
    10,543.54/14,549.21 = 5,827.82/x
  3. Step 3: Cross multiply
    10,543.54x = 14,549.21 × 5,827.82
  4. Step 4: Simplify right side
    10,543.54x = 84,790,177.02
  5. Step 5: Solve for x
    x = 84,790,177.02/10,543.54
  6. Step 6: Final answer
    x = 8,041.91

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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.