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Finding the Fourth Proportional to 10,526.26, 15,775.72 and 4,279

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Solution

The fourth proportional to 10,526.26, 15,775.72 and 4,279 is: 6,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.26 : 15,775.72 = 4,279 : x
  2. Step 2: Convert to fraction form
    10,526.26/15,775.72 = 4,279/x
  3. Step 3: Cross multiply
    10,526.26x = 15,775.72 × 4,279
  4. Step 4: Simplify right side
    10,526.26x = 67,504,305.88
  5. Step 5: Solve for x
    x = 67,504,305.88/10,526.26
  6. Step 6: Final answer
    x = 6,412.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.