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Finding the Fourth Proportional to 8,272.95, 11,416.68 and 4,496.16

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Solution

The fourth proportional to 8,272.95, 11,416.68 and 4,496.16 is: 6,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.95 : 11,416.68 = 4,496.16 : x
  2. Step 2: Convert to fraction form
    8,272.95/11,416.68 = 4,496.16/x
  3. Step 3: Cross multiply
    8,272.95x = 11,416.68 × 4,496.16
  4. Step 4: Simplify right side
    8,272.95x = 51,331,219.95
  5. Step 5: Solve for x
    x = 51,331,219.95/8,272.95
  6. Step 6: Final answer
    x = 6,204.71

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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.