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Finding the Fourth Proportional to 7,608.04, 11,404.16 and 3,902.02

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Solution

The fourth proportional to 7,608.04, 11,404.16 and 3,902.02 is: 5,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.04 : 11,404.16 = 3,902.02 : x
  2. Step 2: Convert to fraction form
    7,608.04/11,404.16 = 3,902.02/x
  3. Step 3: Cross multiply
    7,608.04x = 11,404.16 × 3,902.02
  4. Step 4: Simplify right side
    7,608.04x = 44,499,260.40
  5. Step 5: Solve for x
    x = 44,499,260.40/7,608.04
  6. Step 6: Final answer
    x = 5,848.98

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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.