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Finding the Fourth Proportional to 26,576.07, 39,864.06 and 7,856.34

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Solution

The fourth proportional to 26,576.07, 39,864.06 and 7,856.34 is: 11,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576.07 : 39,864.06 = 7,856.34 : x
  2. Step 2: Convert to fraction form
    26,576.07/39,864.06 = 7,856.34/x
  3. Step 3: Cross multiply
    26,576.07x = 39,864.06 × 7,856.34
  4. Step 4: Simplify right side
    26,576.07x = 313,185,609.14
  5. Step 5: Solve for x
    x = 313,185,609.14/26,576.07
  6. Step 6: Final answer
    x = 11,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.