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Finding the Fourth Proportional to 6,840.66, 10,261.49 and 2,458.15

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Solution

The fourth proportional to 6,840.66, 10,261.49 and 2,458.15 is: 3,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.66 : 10,261.49 = 2,458.15 : x
  2. Step 2: Convert to fraction form
    6,840.66/10,261.49 = 2,458.15/x
  3. Step 3: Cross multiply
    6,840.66x = 10,261.49 × 2,458.15
  4. Step 4: Simplify right side
    6,840.66x = 25,224,281.64
  5. Step 5: Solve for x
    x = 25,224,281.64/6,840.66
  6. Step 6: Final answer
    x = 3,687.40

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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.