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Finding the Fourth Proportional to 10,401.28, 14,354.05 and 6,368.03

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Solution

The fourth proportional to 10,401.28, 14,354.05 and 6,368.03 is: 8,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.28 : 14,354.05 = 6,368.03 : x
  2. Step 2: Convert to fraction form
    10,401.28/14,354.05 = 6,368.03/x
  3. Step 3: Cross multiply
    10,401.28x = 14,354.05 × 6,368.03
  4. Step 4: Simplify right side
    10,401.28x = 91,407,021.02
  5. Step 5: Solve for x
    x = 91,407,021.02/10,401.28
  6. Step 6: Final answer
    x = 8,788.06

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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.