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Finding the Fourth Proportional to 7,263.84, 10,895.12 and 2,332.16

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Solution

The fourth proportional to 7,263.84, 10,895.12 and 2,332.16 is: 3,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.84 : 10,895.12 = 2,332.16 : x
  2. Step 2: Convert to fraction form
    7,263.84/10,895.12 = 2,332.16/x
  3. Step 3: Cross multiply
    7,263.84x = 10,895.12 × 2,332.16
  4. Step 4: Simplify right side
    7,263.84x = 25,409,163.06
  5. Step 5: Solve for x
    x = 25,409,163.06/7,263.84
  6. Step 6: Final answer
    x = 3,498.03

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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.