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Finding the Fourth Proportional to 7,902.76, 11,849.26 and 3,740.20

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Solution

The fourth proportional to 7,902.76, 11,849.26 and 3,740.20 is: 5,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.76 : 11,849.26 = 3,740.20 : x
  2. Step 2: Convert to fraction form
    7,902.76/11,849.26 = 3,740.20/x
  3. Step 3: Cross multiply
    7,902.76x = 11,849.26 × 3,740.20
  4. Step 4: Simplify right side
    7,902.76x = 44,318,602.25
  5. Step 5: Solve for x
    x = 44,318,602.25/7,902.76
  6. Step 6: Final answer
    x = 5,607.99

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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.