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Finding the Fourth Proportional to 7,902.99, 11,855.63 and 2,358.04

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Solution

The fourth proportional to 7,902.99, 11,855.63 and 2,358.04 is: 3,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.99 : 11,855.63 = 2,358.04 : x
  2. Step 2: Convert to fraction form
    7,902.99/11,855.63 = 2,358.04/x
  3. Step 3: Cross multiply
    7,902.99x = 11,855.63 × 2,358.04
  4. Step 4: Simplify right side
    7,902.99x = 27,956,049.77
  5. Step 5: Solve for x
    x = 27,956,049.77/7,902.99
  6. Step 6: Final answer
    x = 3,537.40

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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.