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Finding the Fourth Proportional to 8,770.64, 12,106.84 and 5,414

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Solution

The fourth proportional to 8,770.64, 12,106.84 and 5,414 is: 7,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.64 : 12,106.84 = 5,414 : x
  2. Step 2: Convert to fraction form
    8,770.64/12,106.84 = 5,414/x
  3. Step 3: Cross multiply
    8,770.64x = 12,106.84 × 5,414
  4. Step 4: Simplify right side
    8,770.64x = 65,546,431.76
  5. Step 5: Solve for x
    x = 65,546,431.76/8,770.64
  6. Step 6: Final answer
    x = 7,473.39

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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.