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Finding the Fourth Proportional to 7,678.00, 11,514.55 and 2,996.87

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Solution

The fourth proportional to 7,678.00, 11,514.55 and 2,996.87 is: 4,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.00 : 11,514.55 = 2,996.87 : x
  2. Step 2: Convert to fraction form
    7,678.00/11,514.55 = 2,996.87/x
  3. Step 3: Cross multiply
    7,678.00x = 11,514.55 × 2,996.87
  4. Step 4: Simplify right side
    7,678.00x = 34,507,587.57
  5. Step 5: Solve for x
    x = 34,507,587.57/7,678.00
  6. Step 6: Final answer
    x = 4,494.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.