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Finding the Fourth Proportional to 7,536.09, 10,403.42 and 5,299.89

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Solution

The fourth proportional to 7,536.09, 10,403.42 and 5,299.89 is: 7,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.09 : 10,403.42 = 5,299.89 : x
  2. Step 2: Convert to fraction form
    7,536.09/10,403.42 = 5,299.89/x
  3. Step 3: Cross multiply
    7,536.09x = 10,403.42 × 5,299.89
  4. Step 4: Simplify right side
    7,536.09x = 55,136,981.62
  5. Step 5: Solve for x
    x = 55,136,981.62/7,536.09
  6. Step 6: Final answer
    x = 7,316.39

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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.