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Finding the Fourth Proportional to 8,711.94, 13,069.53 and 4,094.94

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Solution

The fourth proportional to 8,711.94, 13,069.53 and 4,094.94 is: 6,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.94 : 13,069.53 = 4,094.94 : x
  2. Step 2: Convert to fraction form
    8,711.94/13,069.53 = 4,094.94/x
  3. Step 3: Cross multiply
    8,711.94x = 13,069.53 × 4,094.94
  4. Step 4: Simplify right side
    8,711.94x = 53,518,920.70
  5. Step 5: Solve for x
    x = 53,518,920.70/8,711.94
  6. Step 6: Final answer
    x = 6,143.17

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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.