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Finding the Fourth Proportional to 7,934.04, 11,894.07 and 3,000.08

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Solution

The fourth proportional to 7,934.04, 11,894.07 and 3,000.08 is: 4,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.04 : 11,894.07 = 3,000.08 : x
  2. Step 2: Convert to fraction form
    7,934.04/11,894.07 = 3,000.08/x
  3. Step 3: Cross multiply
    7,934.04x = 11,894.07 × 3,000.08
  4. Step 4: Simplify right side
    7,934.04x = 35,683,161.53
  5. Step 5: Solve for x
    x = 35,683,161.53/7,934.04
  6. Step 6: Final answer
    x = 4,497.48

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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.