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Finding the Fourth Proportional to 7,119.12, 10,678.56 and 2,502

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Solution

The fourth proportional to 7,119.12, 10,678.56 and 2,502 is: 3,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.12 : 10,678.56 = 2,502 : x
  2. Step 2: Convert to fraction form
    7,119.12/10,678.56 = 2,502/x
  3. Step 3: Cross multiply
    7,119.12x = 10,678.56 × 2,502
  4. Step 4: Simplify right side
    7,119.12x = 26,717,757.12
  5. Step 5: Solve for x
    x = 26,717,757.12/7,119.12
  6. Step 6: Final answer
    x = 3,752.96

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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.