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Finding the Fourth Proportional to 7,340.16, 10,129.42 and 4,196.42

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Solution

The fourth proportional to 7,340.16, 10,129.42 and 4,196.42 is: 5,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.16 : 10,129.42 = 4,196.42 : x
  2. Step 2: Convert to fraction form
    7,340.16/10,129.42 = 4,196.42/x
  3. Step 3: Cross multiply
    7,340.16x = 10,129.42 × 4,196.42
  4. Step 4: Simplify right side
    7,340.16x = 42,507,239.54
  5. Step 5: Solve for x
    x = 42,507,239.54/7,340.16
  6. Step 6: Final answer
    x = 5,791.05

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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.