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Finding the Fourth Proportional to 8,522.37, 11,756.70 and 7,341.39

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Solution

The fourth proportional to 8,522.37, 11,756.70 and 7,341.39 is: 10,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.37 : 11,756.70 = 7,341.39 : x
  2. Step 2: Convert to fraction form
    8,522.37/11,756.70 = 7,341.39/x
  3. Step 3: Cross multiply
    8,522.37x = 11,756.70 × 7,341.39
  4. Step 4: Simplify right side
    8,522.37x = 86,310,519.81
  5. Step 5: Solve for x
    x = 86,310,519.81/8,522.37
  6. Step 6: Final answer
    x = 10,127.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.