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Finding the Fourth Proportional to 7,343.36, 10,129.36 and 4,357.20

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Solution

The fourth proportional to 7,343.36, 10,129.36 and 4,357.20 is: 6,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.36 : 10,129.36 = 4,357.20 : x
  2. Step 2: Convert to fraction form
    7,343.36/10,129.36 = 4,357.20/x
  3. Step 3: Cross multiply
    7,343.36x = 10,129.36 × 4,357.20
  4. Step 4: Simplify right side
    7,343.36x = 44,135,647.39
  5. Step 5: Solve for x
    x = 44,135,647.39/7,343.36
  6. Step 6: Final answer
    x = 6,010.28

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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.