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Finding the Fourth Proportional to 10,428.20, 14,391.08 and 5,712.36

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Solution

The fourth proportional to 10,428.20, 14,391.08 and 5,712.36 is: 7,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.20 : 14,391.08 = 5,712.36 : x
  2. Step 2: Convert to fraction form
    10,428.20/14,391.08 = 5,712.36/x
  3. Step 3: Cross multiply
    10,428.20x = 14,391.08 × 5,712.36
  4. Step 4: Simplify right side
    10,428.20x = 82,207,029.75
  5. Step 5: Solve for x
    x = 82,207,029.75/10,428.20
  6. Step 6: Final answer
    x = 7,883.15

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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.