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Finding the Fourth Proportional to 11,816.87, 16,306.16 and 6,970.84

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Solution

The fourth proportional to 11,816.87, 16,306.16 and 6,970.84 is: 9,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.87 : 16,306.16 = 6,970.84 : x
  2. Step 2: Convert to fraction form
    11,816.87/16,306.16 = 6,970.84/x
  3. Step 3: Cross multiply
    11,816.87x = 16,306.16 × 6,970.84
  4. Step 4: Simplify right side
    11,816.87x = 113,667,550.84
  5. Step 5: Solve for x
    x = 113,667,550.84/11,816.87
  6. Step 6: Final answer
    x = 9,619.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.