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Finding the Fourth Proportional to 7,306, 10,960.44 and 2,375.76

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Solution

The fourth proportional to 7,306, 10,960.44 and 2,375.76 is: 3,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306 : 10,960.44 = 2,375.76 : x
  2. Step 2: Convert to fraction form
    7,306/10,960.44 = 2,375.76/x
  3. Step 3: Cross multiply
    7,306x = 10,960.44 × 2,375.76
  4. Step 4: Simplify right side
    7,306x = 26,039,374.93
  5. Step 5: Solve for x
    x = 26,039,374.93/7,306
  6. Step 6: Final answer
    x = 3,564.11

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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.