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Finding the Fourth Proportional to 6,911.32, 10,363.93 and 1,979.84

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Solution

The fourth proportional to 6,911.32, 10,363.93 and 1,979.84 is: 2,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.32 : 10,363.93 = 1,979.84 : x
  2. Step 2: Convert to fraction form
    6,911.32/10,363.93 = 1,979.84/x
  3. Step 3: Cross multiply
    6,911.32x = 10,363.93 × 1,979.84
  4. Step 4: Simplify right side
    6,911.32x = 20,518,923.17
  5. Step 5: Solve for x
    x = 20,518,923.17/6,911.32
  6. Step 6: Final answer
    x = 2,968.89

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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.