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Finding the Fourth Proportional to 7,315.84, 10,974.13 and 4,195.01

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Solution

The fourth proportional to 7,315.84, 10,974.13 and 4,195.01 is: 6,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.84 : 10,974.13 = 4,195.01 : x
  2. Step 2: Convert to fraction form
    7,315.84/10,974.13 = 4,195.01/x
  3. Step 3: Cross multiply
    7,315.84x = 10,974.13 × 4,195.01
  4. Step 4: Simplify right side
    7,315.84x = 46,036,585.09
  5. Step 5: Solve for x
    x = 46,036,585.09/7,315.84
  6. Step 6: Final answer
    x = 6,292.73

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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.