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Finding the Fourth Proportional to 10,367.95, 14,308.42 and 5,890

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Solution

The fourth proportional to 10,367.95, 14,308.42 and 5,890 is: 8,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.95 : 14,308.42 = 5,890 : x
  2. Step 2: Convert to fraction form
    10,367.95/14,308.42 = 5,890/x
  3. Step 3: Cross multiply
    10,367.95x = 14,308.42 × 5,890
  4. Step 4: Simplify right side
    10,367.95x = 84,276,593.80
  5. Step 5: Solve for x
    x = 84,276,593.80/10,367.95
  6. Step 6: Final answer
    x = 8,128.57

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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.