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Finding the Fourth Proportional to 8,282.08, 12,425.28 and 3,088

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Solution

The fourth proportional to 8,282.08, 12,425.28 and 3,088 is: 4,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.08 : 12,425.28 = 3,088 : x
  2. Step 2: Convert to fraction form
    8,282.08/12,425.28 = 3,088/x
  3. Step 3: Cross multiply
    8,282.08x = 12,425.28 × 3,088
  4. Step 4: Simplify right side
    8,282.08x = 38,369,264.64
  5. Step 5: Solve for x
    x = 38,369,264.64/8,282.08
  6. Step 6: Final answer
    x = 4,632.81

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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.