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Finding the Fourth Proportional to 8,176, 12,264.08 and 2,020

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Solution

The fourth proportional to 8,176, 12,264.08 and 2,020 is: 3,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 12,264.08 = 2,020 : x
  2. Step 2: Convert to fraction form
    8,176/12,264.08 = 2,020/x
  3. Step 3: Cross multiply
    8,176x = 12,264.08 × 2,020
  4. Step 4: Simplify right side
    8,176x = 24,773,441.60
  5. Step 5: Solve for x
    x = 24,773,441.60/8,176
  6. Step 6: Final answer
    x = 3,030.02

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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.