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Finding the Fourth Proportional to 7,636.42, 10,537.72 and 4,279.20

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Solution

The fourth proportional to 7,636.42, 10,537.72 and 4,279.20 is: 5,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.42 : 10,537.72 = 4,279.20 : x
  2. Step 2: Convert to fraction form
    7,636.42/10,537.72 = 4,279.20/x
  3. Step 3: Cross multiply
    7,636.42x = 10,537.72 × 4,279.20
  4. Step 4: Simplify right side
    7,636.42x = 45,093,011.42
  5. Step 5: Solve for x
    x = 45,093,011.42/7,636.42
  6. Step 6: Final answer
    x = 5,904.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.