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Finding the Fourth Proportional to 8,723.64, 13,074.12 and 3,526.68

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Solution

The fourth proportional to 8,723.64, 13,074.12 and 3,526.68 is: 5,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.64 : 13,074.12 = 3,526.68 : x
  2. Step 2: Convert to fraction form
    8,723.64/13,074.12 = 3,526.68/x
  3. Step 3: Cross multiply
    8,723.64x = 13,074.12 × 3,526.68
  4. Step 4: Simplify right side
    8,723.64x = 46,108,237.52
  5. Step 5: Solve for x
    x = 46,108,237.52/8,723.64
  6. Step 6: Final answer
    x = 5,285.44

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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.