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Finding the Fourth Proportional to 8,502.62, 12,758.10 and 3,825.93

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Solution

The fourth proportional to 8,502.62, 12,758.10 and 3,825.93 is: 5,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.62 : 12,758.10 = 3,825.93 : x
  2. Step 2: Convert to fraction form
    8,502.62/12,758.10 = 3,825.93/x
  3. Step 3: Cross multiply
    8,502.62x = 12,758.10 × 3,825.93
  4. Step 4: Simplify right side
    8,502.62x = 48,811,597.53
  5. Step 5: Solve for x
    x = 48,811,597.53/8,502.62
  6. Step 6: Final answer
    x = 5,740.77

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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.