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Finding the Fourth Proportional to 7,005.26, 10,511.14 and 2,848.12

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Solution

The fourth proportional to 7,005.26, 10,511.14 and 2,848.12 is: 4,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.26 : 10,511.14 = 2,848.12 : x
  2. Step 2: Convert to fraction form
    7,005.26/10,511.14 = 2,848.12/x
  3. Step 3: Cross multiply
    7,005.26x = 10,511.14 × 2,848.12
  4. Step 4: Simplify right side
    7,005.26x = 29,936,988.06
  5. Step 5: Solve for x
    x = 29,936,988.06/7,005.26
  6. Step 6: Final answer
    x = 4,273.50

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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.