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Finding the Fourth Proportional to 7,291.38, 10,927.89 and 3,126.50

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Solution

The fourth proportional to 7,291.38, 10,927.89 and 3,126.50 is: 4,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.38 : 10,927.89 = 3,126.50 : x
  2. Step 2: Convert to fraction form
    7,291.38/10,927.89 = 3,126.50/x
  3. Step 3: Cross multiply
    7,291.38x = 10,927.89 × 3,126.50
  4. Step 4: Simplify right side
    7,291.38x = 34,165,993.45
  5. Step 5: Solve for x
    x = 34,165,993.45/7,291.38
  6. Step 6: Final answer
    x = 4,685.81

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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.