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Finding the Fourth Proportional to 7,871.10, 11,749.07 and 6,936.96

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Solution

The fourth proportional to 7,871.10, 11,749.07 and 6,936.96 is: 10,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.10 : 11,749.07 = 6,936.96 : x
  2. Step 2: Convert to fraction form
    7,871.10/11,749.07 = 6,936.96/x
  3. Step 3: Cross multiply
    7,871.10x = 11,749.07 × 6,936.96
  4. Step 4: Simplify right side
    7,871.10x = 81,502,828.63
  5. Step 5: Solve for x
    x = 81,502,828.63/7,871.10
  6. Step 6: Final answer
    x = 10,354.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.