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Finding the Fourth Proportional to 10,428.31, 14,391.08 and 5,712.76

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Solution

The fourth proportional to 10,428.31, 14,391.08 and 5,712.76 is: 7,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.31 : 14,391.08 = 5,712.76 : x
  2. Step 2: Convert to fraction form
    10,428.31/14,391.08 = 5,712.76/x
  3. Step 3: Cross multiply
    10,428.31x = 14,391.08 × 5,712.76
  4. Step 4: Simplify right side
    10,428.31x = 82,212,786.18
  5. Step 5: Solve for x
    x = 82,212,786.18/10,428.31
  6. Step 6: Final answer
    x = 7,883.62

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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.