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Finding the Fourth Proportional to 10,543.85, 14,549.51 and 5,827.37

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Solution

The fourth proportional to 10,543.85, 14,549.51 and 5,827.37 is: 8,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.85 : 14,549.51 = 5,827.37 : x
  2. Step 2: Convert to fraction form
    10,543.85/14,549.51 = 5,827.37/x
  3. Step 3: Cross multiply
    10,543.85x = 14,549.51 × 5,827.37
  4. Step 4: Simplify right side
    10,543.85x = 84,785,348.95
  5. Step 5: Solve for x
    x = 84,785,348.95/10,543.85
  6. Step 6: Final answer
    x = 8,041.21

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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.