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Finding the Fourth Proportional to 11,164.98, 15,406.61 and 6,688.65

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Solution

The fourth proportional to 11,164.98, 15,406.61 and 6,688.65 is: 9,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.98 : 15,406.61 = 6,688.65 : x
  2. Step 2: Convert to fraction form
    11,164.98/15,406.61 = 6,688.65/x
  3. Step 3: Cross multiply
    11,164.98x = 15,406.61 × 6,688.65
  4. Step 4: Simplify right side
    11,164.98x = 103,049,388.53
  5. Step 5: Solve for x
    x = 103,049,388.53/11,164.98
  6. Step 6: Final answer
    x = 9,229.70

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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.