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Finding the Fourth Proportional to 7,768.50, 11,654.60 and 2,574.38

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Solution

The fourth proportional to 7,768.50, 11,654.60 and 2,574.38 is: 3,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.50 : 11,654.60 = 2,574.38 : x
  2. Step 2: Convert to fraction form
    7,768.50/11,654.60 = 2,574.38/x
  3. Step 3: Cross multiply
    7,768.50x = 11,654.60 × 2,574.38
  4. Step 4: Simplify right side
    7,768.50x = 30,003,298.00
  5. Step 5: Solve for x
    x = 30,003,298.00/7,768.50
  6. Step 6: Final answer
    x = 3,862.17

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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.