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Finding the Fourth Proportional to 7,605.42, 10,500.29 and 5,219.38

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Solution

The fourth proportional to 7,605.42, 10,500.29 and 5,219.38 is: 7,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.42 : 10,500.29 = 5,219.38 : x
  2. Step 2: Convert to fraction form
    7,605.42/10,500.29 = 5,219.38/x
  3. Step 3: Cross multiply
    7,605.42x = 10,500.29 × 5,219.38
  4. Step 4: Simplify right side
    7,605.42x = 54,805,010.22
  5. Step 5: Solve for x
    x = 54,805,010.22/7,605.42
  6. Step 6: Final answer
    x = 7,206.05

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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.