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Finding the Fourth Proportional to 7,908.16, 11,864.40 and 3,294.40

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Solution

The fourth proportional to 7,908.16, 11,864.40 and 3,294.40 is: 4,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.16 : 11,864.40 = 3,294.40 : x
  2. Step 2: Convert to fraction form
    7,908.16/11,864.40 = 3,294.40/x
  3. Step 3: Cross multiply
    7,908.16x = 11,864.40 × 3,294.40
  4. Step 4: Simplify right side
    7,908.16x = 39,086,079.36
  5. Step 5: Solve for x
    x = 39,086,079.36/7,908.16
  6. Step 6: Final answer
    x = 4,942.50

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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.