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Finding the Fourth Proportional to 8,272.59, 11,416.17 and 4,735.80

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Solution

The fourth proportional to 8,272.59, 11,416.17 and 4,735.80 is: 6,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.59 : 11,416.17 = 4,735.80 : x
  2. Step 2: Convert to fraction form
    8,272.59/11,416.17 = 4,735.80/x
  3. Step 3: Cross multiply
    8,272.59x = 11,416.17 × 4,735.80
  4. Step 4: Simplify right side
    8,272.59x = 54,064,697.89
  5. Step 5: Solve for x
    x = 54,064,697.89/8,272.59
  6. Step 6: Final answer
    x = 6,535.40

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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.