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Finding the Fourth Proportional to 8,222.07, 12,332.97 and 5,583.03

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Solution

The fourth proportional to 8,222.07, 12,332.97 and 5,583.03 is: 8,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.07 : 12,332.97 = 5,583.03 : x
  2. Step 2: Convert to fraction form
    8,222.07/12,332.97 = 5,583.03/x
  3. Step 3: Cross multiply
    8,222.07x = 12,332.97 × 5,583.03
  4. Step 4: Simplify right side
    8,222.07x = 68,855,341.50
  5. Step 5: Solve for x
    x = 68,855,341.50/8,222.07
  6. Step 6: Final answer
    x = 8,374.45

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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.