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Finding the Fourth Proportional to 11,281.78, 15,568.35 and 6,245.64

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Solution

The fourth proportional to 11,281.78, 15,568.35 and 6,245.64 is: 8,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.78 : 15,568.35 = 6,245.64 : x
  2. Step 2: Convert to fraction form
    11,281.78/15,568.35 = 6,245.64/x
  3. Step 3: Cross multiply
    11,281.78x = 15,568.35 × 6,245.64
  4. Step 4: Simplify right side
    11,281.78x = 97,234,309.49
  5. Step 5: Solve for x
    x = 97,234,309.49/11,281.78
  6. Step 6: Final answer
    x = 8,618.70

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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.