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Finding the Fourth Proportional to 10,447, 14,418.08 and 5,971.40

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Solution

The fourth proportional to 10,447, 14,418.08 and 5,971.40 is: 8,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447 : 14,418.08 = 5,971.40 : x
  2. Step 2: Convert to fraction form
    10,447/14,418.08 = 5,971.40/x
  3. Step 3: Cross multiply
    10,447x = 14,418.08 × 5,971.40
  4. Step 4: Simplify right side
    10,447x = 86,096,122.91
  5. Step 5: Solve for x
    x = 86,096,122.91/10,447
  6. Step 6: Final answer
    x = 8,241.23

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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.