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Finding the Fourth Proportional to 11,011.64, 15,196.08 and 5,975.86

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Solution

The fourth proportional to 11,011.64, 15,196.08 and 5,975.86 is: 8,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.64 : 15,196.08 = 5,975.86 : x
  2. Step 2: Convert to fraction form
    11,011.64/15,196.08 = 5,975.86/x
  3. Step 3: Cross multiply
    11,011.64x = 15,196.08 × 5,975.86
  4. Step 4: Simplify right side
    11,011.64x = 90,809,669.68
  5. Step 5: Solve for x
    x = 90,809,669.68/11,011.64
  6. Step 6: Final answer
    x = 8,246.70

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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.