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Finding the Fourth Proportional to 7,322.50, 10,983.68 and 2,392.12

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Solution

The fourth proportional to 7,322.50, 10,983.68 and 2,392.12 is: 3,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.50 : 10,983.68 = 2,392.12 : x
  2. Step 2: Convert to fraction form
    7,322.50/10,983.68 = 2,392.12/x
  3. Step 3: Cross multiply
    7,322.50x = 10,983.68 × 2,392.12
  4. Step 4: Simplify right side
    7,322.50x = 26,274,280.60
  5. Step 5: Solve for x
    x = 26,274,280.60/7,322.50
  6. Step 6: Final answer
    x = 3,588.16

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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.