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Finding the Fourth Proportional to 8,528.76, 11,709.63 and 8,010.36

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Solution

The fourth proportional to 8,528.76, 11,709.63 and 8,010.36 is: 10,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.76 : 11,709.63 = 8,010.36 : x
  2. Step 2: Convert to fraction form
    8,528.76/11,709.63 = 8,010.36/x
  3. Step 3: Cross multiply
    8,528.76x = 11,709.63 × 8,010.36
  4. Step 4: Simplify right side
    8,528.76x = 93,798,351.77
  5. Step 5: Solve for x
    x = 93,798,351.77/8,528.76
  6. Step 6: Final answer
    x = 10,997.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.