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Finding the Fourth Proportional to 7,900.68, 11,853.12 and 2,354.04

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Solution

The fourth proportional to 7,900.68, 11,853.12 and 2,354.04 is: 3,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.68 : 11,853.12 = 2,354.04 : x
  2. Step 2: Convert to fraction form
    7,900.68/11,853.12 = 2,354.04/x
  3. Step 3: Cross multiply
    7,900.68x = 11,853.12 × 2,354.04
  4. Step 4: Simplify right side
    7,900.68x = 27,902,718.60
  5. Step 5: Solve for x
    x = 27,902,718.60/7,900.68
  6. Step 6: Final answer
    x = 3,531.69

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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.