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Finding the Fourth Proportional to 6,416.80, 8,851.56 and 3,763.64

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Solution

The fourth proportional to 6,416.80, 8,851.56 and 3,763.64 is: 5,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.80 : 8,851.56 = 3,763.64 : x
  2. Step 2: Convert to fraction form
    6,416.80/8,851.56 = 3,763.64/x
  3. Step 3: Cross multiply
    6,416.80x = 8,851.56 × 3,763.64
  4. Step 4: Simplify right side
    6,416.80x = 33,314,085.28
  5. Step 5: Solve for x
    x = 33,314,085.28/6,416.80
  6. Step 6: Final answer
    x = 5,191.70

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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.