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Finding the Fourth Proportional to 7,561.69, 10,436.38 and 4,417.27

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Solution

The fourth proportional to 7,561.69, 10,436.38 and 4,417.27 is: 6,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.69 : 10,436.38 = 4,417.27 : x
  2. Step 2: Convert to fraction form
    7,561.69/10,436.38 = 4,417.27/x
  3. Step 3: Cross multiply
    7,561.69x = 10,436.38 × 4,417.27
  4. Step 4: Simplify right side
    7,561.69x = 46,100,271.15
  5. Step 5: Solve for x
    x = 46,100,271.15/7,561.69
  6. Step 6: Final answer
    x = 6,096.56

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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.