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Finding the Fourth Proportional to 7,314.09, 10,957.32 and 3,612

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Solution

The fourth proportional to 7,314.09, 10,957.32 and 3,612 is: 5,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.09 : 10,957.32 = 3,612 : x
  2. Step 2: Convert to fraction form
    7,314.09/10,957.32 = 3,612/x
  3. Step 3: Cross multiply
    7,314.09x = 10,957.32 × 3,612
  4. Step 4: Simplify right side
    7,314.09x = 39,577,839.84
  5. Step 5: Solve for x
    x = 39,577,839.84/7,314.09
  6. Step 6: Final answer
    x = 5,411.18

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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.