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Finding the Fourth Proportional to 11,164.86, 15,406.36 and 6,688.50

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Solution

The fourth proportional to 11,164.86, 15,406.36 and 6,688.50 is: 9,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.86 : 15,406.36 = 6,688.50 : x
  2. Step 2: Convert to fraction form
    11,164.86/15,406.36 = 6,688.50/x
  3. Step 3: Cross multiply
    11,164.86x = 15,406.36 × 6,688.50
  4. Step 4: Simplify right side
    11,164.86x = 103,045,454.72
  5. Step 5: Solve for x
    x = 103,045,454.72/11,164.86
  6. Step 6: Final answer
    x = 9,229.44

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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.