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Finding the Fourth Proportional to 10,253.79, 14,142.06 and 7,736.31

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Solution

The fourth proportional to 10,253.79, 14,142.06 and 7,736.31 is: 10,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.79 : 14,142.06 = 7,736.31 : x
  2. Step 2: Convert to fraction form
    10,253.79/14,142.06 = 7,736.31/x
  3. Step 3: Cross multiply
    10,253.79x = 14,142.06 × 7,736.31
  4. Step 4: Simplify right side
    10,253.79x = 109,407,360.20
  5. Step 5: Solve for x
    x = 109,407,360.20/10,253.79
  6. Step 6: Final answer
    x = 10,669.94

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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.