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Finding the Fourth Proportional to 8,851.46, 13,283.22 and 3,657.30

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Solution

The fourth proportional to 8,851.46, 13,283.22 and 3,657.30 is: 5,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.46 : 13,283.22 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    8,851.46/13,283.22 = 3,657.30/x
  3. Step 3: Cross multiply
    8,851.46x = 13,283.22 × 3,657.30
  4. Step 4: Simplify right side
    8,851.46x = 48,580,720.51
  5. Step 5: Solve for x
    x = 48,580,720.51/8,851.46
  6. Step 6: Final answer
    x = 5,488.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.