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Finding the Fourth Proportional to 7,264.58, 10,896.58 and 2,070.44

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Solution

The fourth proportional to 7,264.58, 10,896.58 and 2,070.44 is: 3,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.58 : 10,896.58 = 2,070.44 : x
  2. Step 2: Convert to fraction form
    7,264.58/10,896.58 = 2,070.44/x
  3. Step 3: Cross multiply
    7,264.58x = 10,896.58 × 2,070.44
  4. Step 4: Simplify right side
    7,264.58x = 22,560,715.10
  5. Step 5: Solve for x
    x = 22,560,715.10/7,264.58
  6. Step 6: Final answer
    x = 3,105.58

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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.