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Finding the Fourth Proportional to 7,396.62, 10,206 and 4,561.72

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Solution

The fourth proportional to 7,396.62, 10,206 and 4,561.72 is: 6,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.62 : 10,206 = 4,561.72 : x
  2. Step 2: Convert to fraction form
    7,396.62/10,206 = 4,561.72/x
  3. Step 3: Cross multiply
    7,396.62x = 10,206 × 4,561.72
  4. Step 4: Simplify right side
    7,396.62x = 46,556,888.81
  5. Step 5: Solve for x
    x = 46,556,888.81/7,396.62
  6. Step 6: Final answer
    x = 6,294.35

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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.