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Finding the Fourth Proportional to 7,314, 10,093.34 and 3,956.84

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Solution

The fourth proportional to 7,314, 10,093.34 and 3,956.84 is: 5,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 10,093.34 = 3,956.84 : x
  2. Step 2: Convert to fraction form
    7,314/10,093.34 = 3,956.84/x
  3. Step 3: Cross multiply
    7,314x = 10,093.34 × 3,956.84
  4. Step 4: Simplify right side
    7,314x = 39,937,661.19
  5. Step 5: Solve for x
    x = 39,937,661.19/7,314
  6. Step 6: Final answer
    x = 5,460.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.