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Finding the Fourth Proportional to 8,746, 12,069.60 and 5,020

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Solution

The fourth proportional to 8,746, 12,069.60 and 5,020 is: 6,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746 : 12,069.60 = 5,020 : x
  2. Step 2: Convert to fraction form
    8,746/12,069.60 = 5,020/x
  3. Step 3: Cross multiply
    8,746x = 12,069.60 × 5,020
  4. Step 4: Simplify right side
    8,746x = 60,589,392
  5. Step 5: Solve for x
    x = 60,589,392/8,746
  6. Step 6: Final answer
    x = 6,927.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.