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Finding the Fourth Proportional to 8,526.34, 11,753.67 and 6,000.22

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Solution

The fourth proportional to 8,526.34, 11,753.67 and 6,000.22 is: 8,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.34 : 11,753.67 = 6,000.22 : x
  2. Step 2: Convert to fraction form
    8,526.34/11,753.67 = 6,000.22/x
  3. Step 3: Cross multiply
    8,526.34x = 11,753.67 × 6,000.22
  4. Step 4: Simplify right side
    8,526.34x = 70,524,605.81
  5. Step 5: Solve for x
    x = 70,524,605.81/8,526.34
  6. Step 6: Final answer
    x = 8,271.38

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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.