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Finding the Fourth Proportional to 10,543.23, 14,548.68 and 5,827.41

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Solution

The fourth proportional to 10,543.23, 14,548.68 and 5,827.41 is: 8,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.23 : 14,548.68 = 5,827.41 : x
  2. Step 2: Convert to fraction form
    10,543.23/14,548.68 = 5,827.41/x
  3. Step 3: Cross multiply
    10,543.23x = 14,548.68 × 5,827.41
  4. Step 4: Simplify right side
    10,543.23x = 84,781,123.32
  5. Step 5: Solve for x
    x = 84,781,123.32/10,543.23
  6. Step 6: Final answer
    x = 8,041.29

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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.