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Finding the Fourth Proportional to 8,506.52, 12,762.20 and 3,313.88

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Solution

The fourth proportional to 8,506.52, 12,762.20 and 3,313.88 is: 4,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.52 : 12,762.20 = 3,313.88 : x
  2. Step 2: Convert to fraction form
    8,506.52/12,762.20 = 3,313.88/x
  3. Step 3: Cross multiply
    8,506.52x = 12,762.20 × 3,313.88
  4. Step 4: Simplify right side
    8,506.52x = 42,292,399.34
  5. Step 5: Solve for x
    x = 42,292,399.34/8,506.52
  6. Step 6: Final answer
    x = 4,971.76

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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.