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Finding the Fourth Proportional to 7,004.26, 10,505.16 and 2,561

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Solution

The fourth proportional to 7,004.26, 10,505.16 and 2,561 is: 3,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.26 : 10,505.16 = 2,561 : x
  2. Step 2: Convert to fraction form
    7,004.26/10,505.16 = 2,561/x
  3. Step 3: Cross multiply
    7,004.26x = 10,505.16 × 2,561
  4. Step 4: Simplify right side
    7,004.26x = 26,903,714.76
  5. Step 5: Solve for x
    x = 26,903,714.76/7,004.26
  6. Step 6: Final answer
    x = 3,841.05

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Why These Related Problems?

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