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Finding the Fourth Proportional to 8,834, 12,191.24 and 5,057.84

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Solution

The fourth proportional to 8,834, 12,191.24 and 5,057.84 is: 6,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834 : 12,191.24 = 5,057.84 : x
  2. Step 2: Convert to fraction form
    8,834/12,191.24 = 5,057.84/x
  3. Step 3: Cross multiply
    8,834x = 12,191.24 × 5,057.84
  4. Step 4: Simplify right side
    8,834x = 61,661,341.32
  5. Step 5: Solve for x
    x = 61,661,341.32/8,834
  6. Step 6: Final answer
    x = 6,980.00

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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.