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Finding the Fourth Proportional to 7,159.78, 10,734 and 3,262.06

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Solution

The fourth proportional to 7,159.78, 10,734 and 3,262.06 is: 4,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.78 : 10,734 = 3,262.06 : x
  2. Step 2: Convert to fraction form
    7,159.78/10,734 = 3,262.06/x
  3. Step 3: Cross multiply
    7,159.78x = 10,734 × 3,262.06
  4. Step 4: Simplify right side
    7,159.78x = 35,014,952.04
  5. Step 5: Solve for x
    x = 35,014,952.04/7,159.78
  6. Step 6: Final answer
    x = 4,890.51

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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.