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Finding the Fourth Proportional to 6,416.10, 8,854.56 and 3,763.74

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Solution

The fourth proportional to 6,416.10, 8,854.56 and 3,763.74 is: 5,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.10 : 8,854.56 = 3,763.74 : x
  2. Step 2: Convert to fraction form
    6,416.10/8,854.56 = 3,763.74/x
  3. Step 3: Cross multiply
    6,416.10x = 8,854.56 × 3,763.74
  4. Step 4: Simplify right side
    6,416.10x = 33,326,261.65
  5. Step 5: Solve for x
    x = 33,326,261.65/6,416.10
  6. Step 6: Final answer
    x = 5,194.16

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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.