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Finding the Fourth Proportional to 10,581.75, 14,602.23 and 5,865.66

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Solution

The fourth proportional to 10,581.75, 14,602.23 and 5,865.66 is: 8,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.75 : 14,602.23 = 5,865.66 : x
  2. Step 2: Convert to fraction form
    10,581.75/14,602.23 = 5,865.66/x
  3. Step 3: Cross multiply
    10,581.75x = 14,602.23 × 5,865.66
  4. Step 4: Simplify right side
    10,581.75x = 85,651,716.42
  5. Step 5: Solve for x
    x = 85,651,716.42/10,581.75
  6. Step 6: Final answer
    x = 8,094.29

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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.