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Finding the Fourth Proportional to 7,511.39, 10,365.69 and 4,199.39

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Solution

The fourth proportional to 7,511.39, 10,365.69 and 4,199.39 is: 5,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.39 : 10,365.69 = 4,199.39 : x
  2. Step 2: Convert to fraction form
    7,511.39/10,365.69 = 4,199.39/x
  3. Step 3: Cross multiply
    7,511.39x = 10,365.69 × 4,199.39
  4. Step 4: Simplify right side
    7,511.39x = 43,529,574.93
  5. Step 5: Solve for x
    x = 43,529,574.93/7,511.39
  6. Step 6: Final answer
    x = 5,795.14

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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.