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Finding the Fourth Proportional to 7,314.84, 10,972.63 and 4,194.01

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Solution

The fourth proportional to 7,314.84, 10,972.63 and 4,194.01 is: 6,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.84 : 10,972.63 = 4,194.01 : x
  2. Step 2: Convert to fraction form
    7,314.84/10,972.63 = 4,194.01/x
  3. Step 3: Cross multiply
    7,314.84x = 10,972.63 × 4,194.01
  4. Step 4: Simplify right side
    7,314.84x = 46,019,338.90
  5. Step 5: Solve for x
    x = 46,019,338.90/7,314.84
  6. Step 6: Final answer
    x = 6,291.23

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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.